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Which expression is equivalent to $\frac{5^8}{5^8}$ ? $\newline$ Choices: $\newline$ (A) $1$ $\newline$ (B) $5^{16}$ $\newline$ (C) $\frac{1}{5}$ $\newline$ (D) $5$

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Identify equivalent exponential expressions I

Full solution

Q. Which expression is equivalent to

\frac{5^8}{5^8}

?

\newline

Choices:

\newline

(A)

1

\newline

(B)

5^{16}

\newline

(C)

\frac{1}{5}

\newline

(D)

5

Understand Exponent Properties: Understand the properties of exponents. $\newline$ When we divide powers with the same base, we subtract the exponents. $\newline$ $a^m / a^n = a^{(m - n)}$
Apply Exponent Rule: Apply the exponent rule to the given expression. $\newline$ $5^8 / 5^8 = 5^{8-8} = 5^0$ $\newline$ Any non-zero number raised to the power of $0$ is $1$ .
Simplify Expression: Simplify the expression. $5^0 = 1$ Therefore, the equivalent expression for $\frac{5^8}{5^8}$ is $1$ .

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