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Popular >

simplify (3x^-4y^5)(4xy^2)

Solution

simplify

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

Solution

4^{2} \cdot 3 y^{7} x^{1}

Solution steps

(3 x^{-} \cdot 4 y^{5}) (4 x y^{2})

Apply exponent rule:

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

4 \cdot 4 = 4^{1 + 1}

= 3 x^{-} y^{5} \cdot 4^{1 + 1} x y^{2}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x^{-} x = x^{-+ 1}

= 3 y^{5} \cdot 4^{2} x^{-+ 1} y^{2}

Apply exponent rule:

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

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

= 3 \cdot 4^{2} x^{-+ 1} y^{5 + 2}

Add the numbers:

5 + 2 = 7

= 3 \cdot 4^{2} x^{-+ 1} y^{7}

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Frequently Asked Questions (FAQ)

What is (3x^-4y^5)(4xy^2) ?
The solution to (3x^-4y^5)(4xy^2) is 4^2*3y^7x^1