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Popular >

simplify ((2x^2)/(x^3))^4

Solution

simplify

(\frac{2 x ^{2}}{x ^{3}})^{4}

Solution

\frac{16}{x ^{4}}

Solution steps

(\frac{2 x ^{2}}{x ^{3}})^{4}

Apply exponent rule:

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

= \frac{( 2 x ^{2} ) ^{4}}{( x ^{3} ) ^{4}}

Simplify

(2 x^{2})^{4} : 16 x^{8}

= \frac{16 x ^{8}}{( x ^{3} ) ^{4}}

Simplify

(x^{3})^{4} : x^{12}

= \frac{16 x ^{8}}{x ^{12}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{x ^{8}}{x ^{12}} = \frac{1}{x ^{12 - 8}}

= \frac{16}{x ^{12 - 8}}

Subtract the numbers:

12 - 8 = 4

= \frac{16}{x ^{4}}

Popular Examples

x(9)=2.67e^{(-9/(136.76783))}

x (9) = 2.67 e^{(- \frac{9}{136.76783})}

factor 4x^2+24x-64 factor

4 x^{2} + 24 x - 64

simplify (10^{3/7}*5^{2/7})^7 simplify

(1 0^{\frac{3}{7}} \cdot 5^{\frac{2}{7}})^{7}

2 u + 9 = 8 u + 21

3 x^{2} + 6 x - 3 = 0

Frequently Asked Questions (FAQ)

What is ((2x^2)/(x^3))^4 ?
The solution to ((2x^2)/(x^3))^4 is (16)/(x^4)