which expression is equivalent to 4^-3/4^-8
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the numerical expression:
4^-3 / 4^-8
Determine what the expression is equivalent to.
Solution:
In dividing numbers with different exponents, we apply the rules of exponents.
Let a and b represent any number
n represent the exponent
a^n / b^n = (a/b)^n-n
We will now apply the rule to the given numerical expression.
=4^-3 / 4^-8
= 1 ^ -3 - (-8)
= 1^-3 + 8
= 1x10^5 or 100,000
4/^-3 / 4^-8 = 100,000