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Popular >

simplify 7x^5y^5(14x^4y^2)

Solution

simplify

7 x^{5} y^{5} (14 x^{4} y^{2})

Solution

98 x^{9} y^{7}

Solution steps

7 x^{5} y^{5} (14 x^{4} y^{2})

Apply exponent rule:

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

x^{5} x^{4} = x^{5 + 4}

= 7 y^{5} \cdot 14 x^{5 + 4} y^{2}

Add the numbers:

5 + 4 = 9

= 7 y^{5} \cdot 14 x^{9} y^{2}

Apply exponent rule:

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

y^{5} y^{2} = y^{5 + 2}

= 7 \cdot 14 x^{9} y^{5 + 2}

Add the numbers:

5 + 2 = 7

= 7 \cdot 14 x^{9} y^{7}

Multiply the numbers:

7 \cdot 14 = 98

= 98 x^{9} y^{7}

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Frequently Asked Questions (FAQ)

What is 7x^5y^5(14x^4y^2) ?
The solution to 7x^5y^5(14x^4y^2) is 98x^9y^7