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Algebra Baldor
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Simplify the quotient of powers $\frac{\left(6x^3\right)^2}{\left(2x^2\right)^3}$

Step-by-step Solution

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Solution

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Final answer to the problem

$\frac{9}{2}$
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Step-by-step Solution

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Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((6x^3)^2)/((2x^2)^3). The power of a product is equal to the product of it's factors raised to the same power. . Calculate the power 2^3. Simplify \left(x^2\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 3.

Final answer to the problem

$\frac{9}{2}$

Exact Numeric Answer

$4.5$

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Function Plot

Plotting: $\frac{9}{2}$

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x
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(◻)
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Quotient of Powers

The quotient of powers of same base is equivalent to the same base to the power of the difference of exponents: $\frac{a^m}{a^n}=a^{m-n}$.

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