Question

What is the value of the expression below?
(625^2)^1/8
O A. 25
O B.1
O c. 125
O D. 5

Answer 1

Answer:

5

Step-by-step explanation:

625 = 25×25 = 5²×5² = 5 ^4

625² = (5 ^4)² = 5^8

(625²)^1/8 = (5^8)^1/8 = 5^(8×1/8) = 5

Answer 2

The value of the given expression  $(625^{2} )^{\frac{1}{8} }$is equal to $5$.

What is an expression?

"An expression is defined as the two or more variables or numbers related using mathematical operation."

According to the question,

Given expression,

$(625^{2} )^{\frac{1}{8} }$

Simplify the given expression we get,

$(625^{2} )^{\frac{1}{8} }\\\\= (625)^{2 \times\frac{1}{8} } \\\\= (625)^ {\frac{1}{4} }\\\\= ( 5^4)^ {\frac{1}{4} }\\\\= (5)^{4 \times\frac{1}{4} } \\\\= 5$

Hence, the value of the given expression  $(625^{2} )^{\frac{1}{8} }$is equal to $5$.

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