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Popular >

simplify (6x^{10})(3x^4)^2

Solution

simplify

(6 x^{10}) (3 x^{4})^{2}

Solution

54 x^{18}

Solution steps

(6 x^{10}) (3 x^{4})^{2}

Simplify

(3 x^{4})^{2} : 9 x^{8}

= 6 x^{10} \cdot 9 x^{8}

Multiply the numbers:

6 \cdot 9 = 54

= 54 x^{10} x^{8}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{10} x^{8} = x^{10 + 8}

= 54 x^{10 + 8}

Add the numbers:

10 + 8 = 18

= 54 x^{18}

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Frequently Asked Questions (FAQ)

What is (6x^{10})(3x^4)^2 ?
The solution to (6x^{10})(3x^4)^2 is 54x^{18}