Which expression is equivalent to (5^(0))/((5^(2))^(5))? 1 0 (1)/(5^(10)) (1)/(5^(7))

Simplify Numerator: Simplify the numerator 5^(0). Any number raised to the power of 0 is 1. So, 5^(0) = 1.Simplify Denominator: Simplify the denominator (5^(2))^(5). When you raise a power to a power, you multiply the exponents. So, (5^(2))^(5) = 5^(2*5) = 5^(10).Write Expression: Write the expression after simplifying the numerator and the denominator. We have 1 in the numerator and 5^(10) in the denominator. So, the expression is (1)/(5^(10)).Check Match: Check if the expression (1)/(5^(10)) matches any of the given options. The expression (1)/(5^(10)) is one of the given options.

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Which expression is equivalent to
(5^(0))/((5^(2))^(5))?
1
0

(1)/(5^(10))

(1)/(5^(7))

Which expression is equivalent to $\frac{5^{0}}{\left(5^{2}\right)^{5}} ?$ $\newline$ $1$ $\newline$ $0$ $\newline$ $\frac{1}{5^{10}}$ $\newline$ $\frac{1}{5^{7}}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Which expression is equivalent to

\frac{5^{0}}{\left(5^{2}\right)^{5}} ?

\newline

1

\newline

0

\newline

\frac{1}{5^{10}}

\newline

\frac{1}{5^{7}}

Simplify Numerator: Simplify the numerator $5^{0}$ . Any number raised to the power of $0$ is $1$ . So, $5^{0} = 1$ .
Simplify Denominator: Simplify the denominator $(5^{2})^{5}$ . $\newline$ When you raise a power to a power, you multiply the exponents. $\newline$ So, $(5^{2})^{5} = 5^{2*5} = 5^{10}$ .
Write Expression: Write the expression after simplifying the numerator and the denominator. $\newline$ We have $1$ in the numerator and $5^{10}$ in the denominator. $\newline$ So, the expression is $(1)/(5^{10})$ .
Check Match: Check if the expression $(1)/(5^{10})$ matches any of the given options. $\newline$ The expression $(1)/(5^{10})$ is one of the given options.