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Popular >

simplify (4x^6)^2*(2x^7)

Solution

simplify

(4 x^{6})^{2} \cdot (2 x^{7})

Solution

32 x^{19}

Solution steps

(4 x^{6})^{2} (2 x^{7})

Simplify

(4 x^{6})^{2} : 16 x^{12}

= 16 x^{12} \cdot 2 x^{7}

Multiply the numbers:

16 \cdot 2 = 32

= 32 x^{12} x^{7}

Apply exponent rule:

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

x^{12} x^{7} = x^{12 + 7}

= 32 x^{12 + 7}

Add the numbers:

12 + 7 = 19

= 32 x^{19}

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Frequently Asked Questions (FAQ)

What is (4x^6)^2*(2x^7) ?
The solution to (4x^6)^2*(2x^7) is 32x^{19}