Question

Which expression is equivalent to StartFraction 7 Superscript 5 Over 7 squared EndFraction? (7 times 5) (7 times 2) (7 times 7 times 7 times 7 times 7) (7 times 7) StartFraction 7 times 5 Over 7 times 2 EndFraction StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction.

Answer 1

To solve the problem we will use the basic exponent properties.

What are Expressions?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

What are the basic exponent properties?

• ${a^m} \cdot {a^n} = a^{(m+n)}$
• $\dfrac{a^m}{a^n} = a^{(m-n)}$

• $\sqrt[m]{a^n} = a^{\frac{n}{m}}$

The solution to the given expression is $(7 \times 7 \times 7)$.

Given to us

• $\dfrac{7^5}{7^2}$

Basic exponent properties,

To solve the problem we will use the basic exponent properties,

$\dfrac{7^5}{7^2}$

Using the property $\dfrac{a^m}{a^n} = a^{(m-n)}$,

$=\dfrac{7^5}{7^2}\\\\= 7^{(5-2)}\\=7^3\\=7 \times 7 \times 7$

Hence, the solution to the given expression is $(7 \times 7 \times 7)$.

Learn more about Expression:

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