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Popular >

simplify 2x^3*7x^4x(3x)^2

Solution

simplify

2 x^{3} \cdot 7 x^{4} x (3 x)^{2}

Solution

126 x^{10}

Solution steps

2 x^{3} \cdot 7 x^{4} x (3 x)^{2}

Multiply the numbers:

2 \cdot 7 = 14

= 14 x^{3} x^{4} x (3 x)^{2}

Simplify

x^{3} x^{4} x : x^{8}

= 14 x^{8} (3 x)^{2}

Apply exponent rule:

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

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

= 3^{2} \cdot 14 x^{8} x^{2}

Apply exponent rule:

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

x^{8} x^{2} = x^{8 + 2}

= 14 \cdot 3^{2} x^{8 + 2}

Refine

= 126 x^{10}

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Frequently Asked Questions (FAQ)

What is 2x^3*7x^4x(3x)^2 ?
The solution to 2x^3*7x^4x(3x)^2 is 126x^{10}