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Popular >

simplify (-3^2x^6)^5

Solution

simplify

(- 3^{2} x^{6})^{5}

Solution

- 59049 x^{30}

Solution steps

(- 3^{2} x^{6})^{5}

Apply exponent rule:

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

if

n

is odd

(- 3^{2} x^{6})^{5} = - (3^{2} x^{6})^{5}

= - (3^{2} x^{6})^{5}

Apply exponent rule:

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

(3^{2} x^{6})^{5} = (3^{2})^{5} (x^{6})^{5}

= - (3^{2})^{5} (x^{6})^{5}

(3^{2})^{5} = 59049

= - 59049 (x^{6})^{5}

Apply exponent rule:

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

assuming

a \geq 0

(x^{6})^{5} = x^{6 \cdot 5}

= - 59049 x^{6 \cdot 5}

Multiply the numbers:

6 \cdot 5 = 30

= - 59049 x^{30}

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Frequently Asked Questions (FAQ)

What is (-3^2x^6)^5 ?
The solution to (-3^2x^6)^5 is -59049x^{30}