find the value of each power.
9. $a^3$ when $a$ is 4
10. $x^3$ when $x$ is $-1$
11. $-y^5$ when $y$ is 2
12. $b^2$ when $b$ is $-3$
13. $w^4$ when $w$ is 1
14. $c^2$ when $c$ is 7

Question

Accepted Answer

### Problem 9:
# Explanation:
## Step1: Substitute $ a = 4 $ into $ a^3 $
$ a^3 = 4^3 $
## Step2: Calculate $ 4^3 $
$ 4^3 = 4\times4\times4 = 64 $
# Answer: 64

### Problem 10:
# Explanation:
## Step1: Substitute $ x = -1 $ into $ x^3 $
$ x^3 = (-1)^3 $
## Step2: Calculate $ (-1)^3 $
$ (-1)^3 = (-1)\times(-1)\times(-1) = -1 $
# Answer: -1

### Problem 11:
# Explanation:
## Step1: Substitute $ y = 2 $ into $ -y^5 $
$ -y^5 = - (2^5) $
## Step2: Calculate $ 2^5 $ and then apply the negative sign
$ 2^5 = 2\times2\times2\times2\times2 = 32 $, so $ -2^5 = -32 $
# Answer: -32

### Problem 12:
# Explanation:
## Step1: Substitute $ b = -3 $ into $ b^2 $
$ b^2 = (-3)^2 $
## Step2: Calculate $ (-3)^2 $
$ (-3)^2 = (-3)\times(-3) = 9 $
# Answer: 9

### Problem 13:
# Explanation:
## Step1: Substitute $ w = 1 $ into $ w^4 $
$ w^4 = 1^4 $
## Step2: Calculate $ 1^4 $
$ 1^4 = 1\times1\times1\times1 = 1 $
# Answer: 1

### Problem 14:
# Explanation:
## Step1: Substitute $ c = 7 $ into $ c^2 $
$ c^2 = 7^2 $
## Step2: Calculate $ 7^2 $
$ 7^2 = 7\times7 = 49 $
# Answer: 49

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QUESTION IMAGE

Question

Explanation:

Problem 9:

Step1: Substitute \( a = 4 \) into \( a^3 \)

Step2: Calculate \( 4^3 \)

Step1: Substitute \( x = -1 \) into \( x^3 \)

Step2: Calculate \( (-1)^3 \)

Step1: Substitute \( y = 2 \) into \( -y^5 \)

Step2: Calculate \( 2^5 \) and then apply the negative sign

Answer:

Problem 10: