THIS IS FOR 19 POINTS!!!Simplify. Express using exponents
1. 5 with an exponent of 2 multiplied by 5 with an exponent of 5
2. e with an exponent of 2 multiplied by e with an exponent of 7
3. 2a with an exponent of 5 multiplied by 6a
4. 4x with an exponent of 2 multiplied by -5x with an exponent of 6
5. 7 with an exponent of 9 divided by 7 with an exponent of 3
6. v with an exponent of 14 divided by v with an exponent of 6
7. 15w with an exponent of 7 divided by 5w with an exponent of 2
8. 10m with an exponent of 8 divided by 2m
9. 2 with an exponent of 5 multiplied by 3 with an exponent of 7 multiplied by 4 with an exponent of 3 divided by 2 with an exponent of 1 multiplied by 3 with an exponent of 5 multiplied by 4
10. 4 with an exponent of 15 multiplied by -5 with an exponent of 6 divided by 4 with an exponent of 12 multiplied by -5 with an exponent of 4
11. 6 with an exponent of 7 multiplied by 7 with an exponent of 6 multiplied by 8 with an exponent of 5 divided by 6 with an exponent of 5 multiplied by 7 with an exponent of 5 multiplied by 8 with an exponent of 4
12. -3 with an exponent of 6 multiplied by 10 with an exponent of 5 divided by -3 with an exponent of 4 multiplied by 10 with an exponent of 3
Answers
2). Same rule. e² x e⁷ = e⁹
3). Same rule, but make sure to start with like bases.
2a⁵ x 6a = (2 x 6) (a⁵ x a¹) = 12 a⁶
4). Same rule, but make sure to start with like bases.
4x² (-5)x⁶ = (4) (-5) (x² x⁶) = -20x⁸
5). To divide with like bases, subtract the denominator (divisor) exponent
from the numerator (dividend) exponent. ===> 7⁹ / 7³ = 7⁶
6). Same rule. v¹⁴ / v⁶ = v⁸
7). Same rule, but make sure to start with like bases.
15w⁷ / 5w² = (15/5) (w⁷/w²) = 3 w⁵
8). Same rule, but make sure to start with like bases.
10 m⁸ / 2m = (10/2) (m⁸ / m¹) = 5m⁷
9). Same rules. Add exponents to multiply, subtract them to divide.
( 2⁵ x 3⁷ x 4³ ) / (2¹ x 3⁵ x 4) = (2⁵ / 2¹) x (3⁷ / 3⁵) x (4³ / 4¹) = 2⁴ x 3² x 4²
10). (4¹⁵) x (-5)⁶ / (4¹² x (-5)⁴ ) = (4¹⁵/4¹²) x [ (-5)⁶/(-5)⁴ ] = 4³ x (-5)² = 4³ x 5²
11). (6⁷ x 7⁶ x 8⁵) / (6⁵ x 7⁵ x 8⁴) = (6⁷ / 6⁵) x (7⁶ / 7⁵) x (8⁵ / 8⁴)
You can finish it from here, you Crazy Unicorn you.
12). [ (-3)⁶ x 10⁵ ] / [ (-3)⁴ x 10³ ] = [ (-3)⁶ / (-3)⁴ ] x (10⁵/10³)
The last step is yours. Take it !
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Twice the quotient of b and 24
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Please help me...?
10 points given
Answers
Add 3 on both sides
3x - 3 + 3 = 2x + 3
3x = 2x + 3
Subtract 2x on both sides
3x - 2x = 2x + 3 - 2x
3x - 2x = 3
x = 3
So, your final answer is x = 3.
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Answer:
1/12
Step-by-step explanation:
2/3=8/12
3/4=9/12
9/12-8/12=1/12
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Answer:
The better buy is The denim shoppe!
Step-by-step explanation:
the denim shoppe price for 3 jeans is $56 and Jeans jam price of 3 jeans is $56.25! $56 < $56.25.
If Ava buys three pairs of jeans from Jeans Jam, it would cost her a total of $56.23. If Ava buys three pairs of jeans from The Denim Shoppe, it would cost her exactly $56. This means that The Denim Shoppe is a better buy...by 23 cents.
Answers
Hi there!
Answer:
The area of the shaded region is 28 in²
Step-by-step explanation:
You will have to do 3 different steps in order to find the area of the shaded region.
First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width
"A" is the area, which is what we are looking for
The "Length" is equal here to 8 inches
The "Width" is equal here to 5 inches
A = 8 × 5
A = 40 in²
Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2
"A" is the area, which is what we are looking for
The "Base" is equal here to 8 inches
The "Height" is equal here to 3 inches
A = (8 × 3) ÷ 2
A = 24 ÷ 2
A = 12 in²
Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :
Area shaded region = 40 in² - 12 in²
Area shaded region = 28 in²
There you go! I really hope this helped, if there's anything just let me know! :)