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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)^{n} = a^{n},

if

n

is even

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

= (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

\frac{4 c}{5} + 6 - 6 = 5

2 (3 x + 1) = 14

\frac{y}{2} < 2

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

- 3.5 + \frac{p}{7} = - 5.2

Frequently Asked Questions (FAQ)

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