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Popular >

simplify 3x^4y^5(7x^2y^3)

Solution

simplify

3 x^{4} y^{5} (7 x^{2} y^{3})

Solution

21 x^{6} y^{8}

Solution steps

3 x^{4} y^{5} (7 x^{2} y^{3})

Apply exponent rule:

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

x^{4} x^{2} = x^{4 + 2}

= 3 y^{5} \cdot 7 x^{4 + 2} y^{3}

Add the numbers:

4 + 2 = 6

= 3 y^{5} \cdot 7 x^{6} y^{3}

Apply exponent rule:

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

y^{5} y^{3} = y^{5 + 3}

= 3 \cdot 7 x^{6} y^{5 + 3}

Add the numbers:

5 + 3 = 8

= 3 \cdot 7 x^{6} y^{8}

Multiply the numbers:

3 \cdot 7 = 21

= 21 x^{6} y^{8}

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Frequently Asked Questions (FAQ)

What is 3x^4y^5(7x^2y^3) ?
The solution to 3x^4y^5(7x^2y^3) is 21x^6y^8