Which expression is equivalent to (2^3)^-5

1/32768

Step-by-step explanation:

First, solve the parenthesis:

2^3 = 2 * 2 * 2 = (2 * 2) * 2 = (4) * 2 = 8

Next, solve the outer power. Note that it has a negative sign, which means that after you solve for the power sign, you have to put the number under 1.

(8)^-5 = 1/(8 * 8 * 8 * 8 * 8) = 1/32768

1/32768 is your answer.

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b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm