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Popular >

simplify (8x^3y^5)(4x^7y)

Solution

simplify

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

Solution

32 x^{10} y^{6}

Solution steps

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

Apply exponent rule:

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

x^{3} x^{7} = x^{3 + 7}

= 8 y^{5} \cdot 4 x^{3 + 7} y

Add the numbers:

3 + 7 = 10

= 8 y^{5} \cdot 4 x^{10} y

Apply exponent rule:

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

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

= 8 \cdot 4 x^{10} y^{5 + 1}

Add the numbers:

5 + 1 = 6

= 8 \cdot 4 x^{10} y^{6}

Multiply the numbers:

8 \cdot 4 = 32

= 32 x^{10} y^{6}

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Frequently Asked Questions (FAQ)

What is (8x^3y^5)(4x^7y) ?
The solution to (8x^3y^5)(4x^7y) is 32x^{10}y^6