Evaluate the following exponential expressions. A. -4²


B. (-2)³


C. (-2)⁴


D. 1000⁰


E. 566¹

Answers

Answer 1
Answer: A.
-4^2 = (-1)(4)^2 = (-1)(16) = \boxed{-16}

B.
(-2)^3 = -2 * -2 * -2 = 4 * -2 = \boxed{-8}

C.
(-2)^4 = (-2)^3 * -2 = -8 * -2 = \boxed{16}

D.
1000^0 = \boxed{1}

E.
566^1 = \boxed{566}
Answer 2
Answer:  -4² : given
= - (4 * 4) = -16 : expand and calculate

(-2)³ : given
= (-2)*(-2)*(-2) = -8 : expand and calculate

1000⁰ : given
= 1000⁰ = 1 : definition: any nonzero number to the power zero gives 1

566¹ : given
= 566¹ = 566 

(-2)⁴ : given
= (-2)³ × -2 = -8 × -2 = 16

Hope I helped! :)

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Which of the following shows a relationship of 4,000 as ten times greater than 400a. 44,935
b. 24,941
c.94,465
d. 86,442

Answers

I think the ANWSER might be a not because 400 times 10 is 4000 then if multiply it again by 10 it's 40,000 which is closest 44,935 so a

In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3

the length of the corresponding side of triangle ABC. What is the value of sinF?

Answers

Answer:

Step-by-step explanation:

From.the Pythagoras theorem,

DF² = DE² + EF²; therefore, DE²= DF²-EF².since each of the side of DEF is 1/3 of sides ABC , it implies that ,1/3 of 20 = 6.7 ( DF)and 1/3 of 16 = 5.3 (EF)

DE² = 6.7²-5.3²;

DE² = 44.89 - 28.09

DE² =16.8

Therefore taking the square root is both side to get the true value of DE

√DE² = √16.8; DE = 4.098.

there the value of sin of angle F

SinF°= 4.098/6.7; = 0.6116

Therefore F° = sin-¹0.6116; 37.7°.

SinF = 0.6116, while angle F = 37.7°

Note: the purpose of using the Pythagoras theorem is to help you find the third side of triangle DEF which is DE

Pls help! will give brainliest

Answers

1= 4
2= I THINK c+3
3=18

Is 5/10 in simplest form

Answers


no, it is not because it can be simplified to 1/2.

Find the Greatest Common Factor (GCF)
5 and 10

GCF = 5

Divide the numerator and denominator by 5.

5/10 ÷ 5 = 1/2
The final answer is 1/2 :)

Why can't the product of two digit numbers ever be two digits

Answers

im pretty sure it can. 20 +20 = 40. if that helps...
no because multiply 90 * 20=1800 that is 4 digits 
90*3=270
6*3=18

16363636931÷217653573737

Answers

This is a great question for a calculator
But answer the quotient for this problem is 0.0751820273384202 but to round it up to the nearest hundredth, the answer will be 0.08
0.0751820273384202  this is the answer are you happy.