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Popular >

simplify ((30x^5)/(6x^3))^2

Solution

simplify

(\frac{30 x ^{5}}{6 x ^{3}})^{2}

Solution

25 x^{4}

Solution steps

(\frac{30 x ^{5}}{6 x ^{3}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 30 x ^{5} ) ^{2}}{( 6 x ^{3} ) ^{2}}

Simplify

(30 x^{5})^{2} : 900 x^{10}

= \frac{900 x ^{10}}{( 6 x ^{3} ) ^{2}}

Simplify

(6 x^{3})^{2} : 36 x^{6}

= \frac{900 x ^{10}}{36 x ^{6}}

Divide the numbers:

\frac{900}{36} = 25

= \frac{25 x ^{10}}{x ^{6}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{x ^{10}}{x ^{6}} = x^{10 - 6}

= 25 x^{10 - 6}

Subtract the numbers:

10 - 6 = 4

= 25 x^{4}

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Frequently Asked Questions (FAQ)

What is ((30x^5)/(6x^3))^2 ?
The solution to ((30x^5)/(6x^3))^2 is 25x^4