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.

Respuesta :

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?

  • [tex]{a^m} \cdot {a^n} = a^{(m+n)}[/tex]
  • [tex]\dfrac{a^m}{a^n} = a^{(m-n)}[/tex]
  • [tex]\sqrt[m]{a^n} = a^{\frac{n}{m}}[/tex]

The solution to the given expression is [tex](7 \times 7 \times 7)[/tex].

Given to us

  • [tex]\dfrac{7^5}{7^2}[/tex]

Basic exponent properties,

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

[tex]\dfrac{7^5}{7^2}[/tex]

Using the property [tex]\dfrac{a^m}{a^n} = a^{(m-n)}[/tex],

[tex]=\dfrac{7^5}{7^2}\\\\= 7^{(5-2)}\\=7^3\\=7 \times 7 \times 7[/tex]

Hence, the solution to the given expression is [tex](7 \times 7 \times 7)[/tex].

Learn more about Expression:

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Answer:

StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction or d

Step-by-step explanation: