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Popular >

simplify (6x^4y^5)(7x^5y)

Solution

simplify

(6 x^{4} y^{5}) (7 x^{5} y)

Solution

42 x^{9} y^{6}

Solution steps

(6 x^{4} y^{5}) (7 x^{5} y)

Apply exponent rule:

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

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

= 6 y^{5} \cdot 7 x^{4 + 5} y

Add the numbers:

4 + 5 = 9

= 6 y^{5} \cdot 7 x^{9} y

Apply exponent rule:

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

y^{5} y = y^{5 + 1}

= 6 \cdot 7 x^{9} y^{5 + 1}

Add the numbers:

5 + 1 = 6

= 6 \cdot 7 x^{9} y^{6}

Multiply the numbers:

6 \cdot 7 = 42

= 42 x^{9} y^{6}

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Frequently Asked Questions (FAQ)

What is (6x^4y^5)(7x^5y) ?
The solution to (6x^4y^5)(7x^5y) is 42x^9y^6