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Popular >

simplify 7yx^2(3xy^5)

Solution

simplify

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

Solution

21 y^{6} x^{3}

Solution steps

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

Apply exponent rule:

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

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

= 7 x^{2} \cdot 3 x y^{1 + 5}

Add the numbers:

1 + 5 = 6

= 7 x^{2} \cdot 3 x y^{6}

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= 7 \cdot 3 x^{2 + 1} y^{6}

Add the numbers:

2 + 1 = 3

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

Multiply the numbers:

7 \cdot 3 = 21

= 21 y^{6} x^{3}

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Frequently Asked Questions (FAQ)

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