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Popular >

simplify (3x^3)^2

Solution

simplify

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

Solution

9 x^{6}

Solution steps

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

Apply exponent rule:

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

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

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

3^{2} = 9

= 9 (x^{3})^{2}

Apply exponent rule:

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

assuming

a \geq 0

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

= 9 x^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 9 x^{6}

Popular Examples

simplify (1/6)^{-2}simplify

(\frac{1}{6})^{- 2}

7 + 5 (x - 3) = 22

x^2+18x+54=4x+9

x^{2} + 18 x + 54 = 4 x + 9

-57=-(-p+1)+2(6+8p)

- 57 = - (- p + 1) + 2 (6 + 8 p)

simplify (5x^3y^3)/(125x^5y^6)simplify

\frac{5 x ^{3} y ^{3}}{125 x ^{5} y ^{6}}

Frequently Asked Questions (FAQ)

What is (3x^3)^2 ?
The solution to (3x^3)^2 is 9x^6