What is the value of the expression 5^3 - \sqrt{64}? — ACT

What is the value of the expression $5^3 - \sqrt{64}$ ?

Answer: 117

The correct answer is

117

Evaluating

5^3

gives

125

since

5 \times 5 \times 5 = 125

. The square root of

64

8

because

8^2 = 64

. Subtracting

8

from

125

yields the correct result of

117

Evaluate the exponential term

5^3

125

An exponent indicates how many times a base is multiplied by itself. Here,

5^3 = 5 \times 5 \times 5 = 125

Evaluate the radical term

\sqrt{64}

8

The square root of a number is the non-negative value that, when multiplied by itself, equals the original number. Since

8 \times 8 = 64

\sqrt{64} = 8

Subtract the evaluated terms

117

Subtract the value of the radical from the value of the exponent to simplify the expression:

125 - 8 = 117

Evaluating basic exponents and square roots

Question