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Popular >

simplify (6x^3)^2

Solution

simplify

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

Solution

36 x^{6}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(6 x^{3})^{2} = 6^{2} (x^{3})^{2}

= 6^{2} (x^{3})^{2}

6^{2} = 36

= 36 (x^{3})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{3})^{2} = x^{3 \cdot 2}

= 36 x^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 36 x^{6}

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\frac{r}{6} < - 6 or 4 r + 2 > 18

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simplify (x/y-y/x)/(1/(4x^2)-1/(4y^2))simplify

\frac{\frac{x}{y} - \frac{y}{x}}{\frac{1}{4 x ^{2}} - \frac{1}{4 y ^{2}}}

Frequently Asked Questions (FAQ)

What is (6x^3)^2 ?
The solution to (6x^3)^2 is 36x^6