Question

Simplify the expression answer must be in positive exponents
a^7/a^3

Answer 1

∑ Hey, jillianwagler ⊃

Answer:

`a^4`

Explanation:

Given:

Simplify the expression answer must be in positive exponents

`(a^7)/(a^3)`

Solve:

Applying exponent rules:
`(x^a)/(x^b)=x^(a-b)`

`=a^(7-3)`

Subtract 7 -3 = 4

`=a^4`

xcookiex12

8/19/2022

Answer 2

a⁴

Explanation:

Given expression:

`\sf (a^7)/(a^3)`

To simplify the expression, we can apply the following rule:
`\sf (x^m)/(x^n)=x^(m-n)`. This is known as the Quotient of Powers Property, which states that when dividing two powers with the same base, the exponents are subtracted.

`\sf \implies (a^7)/(a^3)=a^(7-3)=\boxed{\sf a^4}`