Multiplication and division with exponents
Key Notes :
To multiply powers with the same base, add their exponents.
To divide powers with the same base, subtract their exponents.
Any number to the zeroth power is equal to one.
Learn with an example
Simplify. Express your answer as a single term, without a denominator.
t2.t4 / t6
First, simplify the numerator.
t2.t4 / t6
t2+4 / t6 –> Multiply, remembering to add the exponents
t6 / t6
The numerator is simplified. Now, divide the numerator by the denominator.
t6-6 —> Divide, remembering to subtract the exponents
t0= 1 –> Any number to the zeroth power is equal to one.
t2.t4 / t6 = 1
Simplify. Express your answer as a single term, without a denominator.
a3.a4.a5
Simplify.
a3.a4.a5
a3+4+5 —> Multiply, remembering to add the exponents
a12
Simplify. Express your answer as a single term, without a denominator.
v4 / v7.v5
First, simplify the denominator.
v4 / v7.v5
v4 / v7+5 —>Multiply, remembering to add the exponents
v4/v12
The denominator is simplified. Now, divide the numerator by the denominator.
v4-12 —> Divide, remembering to subtract the exponents
v-8
Let’s practice!🖊️
