A students claims that 8 to the 3rd power and 8 to the negative 5th power is greater than 1. Explain whether the student is correct or not.

Answers

Answer 1

Answer: 7s over 5t to the negative 3rd power 2 to the negative 3rd power times X to the 2nd power times Z to the negative 7th power 7s to the zero power times T to the negative 5th power over 2 to the negative 1st power times M to the 2nd power If you would please simplify these

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05.01)A scale drawing of a living room is shown below: A rectangle is shown. The length of the rectangle is labeled 3 inches. The width of the rectangle is labeled 5.5 inches. The scale is 1 to 30. What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
How many 20 make 88 dollars

(A^5)^6 × a^2 × (a^8)^0

Could you show me the steps so I can understand better?

Answers

Answer:

The answer for (a^5)^6 × a^2 × (a^8)^0 is a^32 or $a^(32)$

Step-by-step explanation:

Given:

(a^5)^6 × a^2 × (a^8)^0

Solution:

1.By property of indices or law of indices we have

$(x^(a)) ^(b) = x^((a* b))\n \therefore (a^(5)) ^(6) = a^((5* 6))\n \therefore (a^(5)) ^(6) = a^((30))\nSimilarly\na^(2) = a^(2)\n \n(a^(8))^(0)} = a^((8* 0))\n(a^(8))^(0)} = a^(0)\ \textrm{Which is also equal to one i.e 1}\n$

Therefore the required equation will be

(a^5)^6 × a^2 × (a^8)^0

$(a^(5)) ^(6)* a^(2)* (a^(8))^(0) =a^((30))* a^(2)* a^(0)$

2. law of indices

$x^(a) * x^(b) = x^((a+b))\n$

Therefore,

$(a^(5)) ^(6)* a^(2)* (a^(8))^(0) = a^((30+2+0))$

$(a^(5)) ^(6)* a^(2)* (a^(8))^(0) = a^((32))$

$5 is what percent of $20

Answers

$5 is 25% of of $20.
Because we know that $10 is 50% of $20 ( 10 is a half of 20 ) and $5 is 1/4 of $20.
We also that 1/4 is 25% so,
$5 is 25%

Draw a set of objects where you can find a fractional part of the group using the total number of objects and by using subgroups

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hahahahahhahahsgbdcsxb

4-0.25g+0.5h=When g=10 andh=5

Answers

Answer:

Step-by-step explanation:

4-0.25*10+0.5*5=4-2.5+2.5=4

4-0.25g + 0.5h
g=10
h=5
4-.25(10)+.5(5)
4 -2.5 +2.5

The answer is 4

Plot 1 1/3 and 2 7/9

Answers

Answer:

I plotted them for you!

The first dot (closest to the left) is 1 1/3 and the one closest to the right is 2 7/9 :)

Step-by-step explanation:

Hope this helped :) good luck!

The square pyramid has a volume of 972 cubic inches. What are the dimensions of the pyramid?Please Help! ☺

Answers

Volume of Pyramid is given by 1/3 base area x height

From the figure we see the base have equal side x so it is a square .Are of

Base = area of square.

Area of base = area of square = x .x = x2

Volume of Pyramid = 1/3 . base area .height

Volume of Pyramid = 972 cubic inches given.

Height of Pyramid= ½ x inches .

Substituting the values of volume ,height and base area we have:

972=1/3 .x2.1/2 x.

972=1/6 x3

Multiplying both sides by 6 we have:

5832=x3

Taking cuberoot of both sides.

X=18in

Length of the side of base is x= 18in each height is ½ x = ½ .18= 9 in

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