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Quotient of powers Calculator
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Example
Created on 2024-06-20
Asked by Aiden Johnson (Solvelet student)
Simplify the expression:
x
m
x
n
\frac{{x^m}}{{x^n}}
x
n
x
m
, where
m
m
m
and
n
n
n
are integers.
Solution
To simplify the expression
x
m
x
n
\frac{{x^m}}{{x^n}}
x
n
x
m
: 1. Use the properties of exponents:
x
m
x
n
=
x
m
−
n
.
\frac{{x^m}}{{x^n}} = x^{m - n}.
x
n
x
m
=
x
m
−
n
.
Therefore,
x
m
x
n
=
x
m
−
n
\frac{{x^m}}{{x^n}} = x^{m - n}
x
n
x
m
=
x
m
−
n
.
Solved on Solvelet with Basic AI Model
Some of the related questions asked by Luna White on Solvelet
1. Simplify the expression
x
4
x
2
\frac{x^4}{x^2}
x
2
x
4
.
2. Evaluate the value of
(
3
2
3
4
)
\left(\frac{3^2}{3^4}\right)
(
3
4
3
2
)
.
Definition
The Quotient of Powers Rule: states when you divide two expression with an equal base you subtract the exponents. Anam=am−n (in math): Example: 2325=25−3=22=4.
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