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Popular >

simplify-15xy(15x^5y^3)

Solution

simplify

- 15 x y (15 x^{5} y^{3})

Solution

- 225 x^{6} y^{4}

Solution steps

- 15 x y (15 x^{5} y^{3})

Apply exponent rule:

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

15 \cdot 15 = 1 5^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

x x^{5} = x^{1 + 5}

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

Add the numbers:

1 + 5 = 6

= - y \cdot 1 5^{2} x^{6} y^{3}

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= - 1 5^{2} x^{6} y^{1 + 3}

Add the numbers:

1 + 3 = 4

= - 1 5^{2} x^{6} y^{4}

1 5^{2} = 225

= - 225 x^{6} y^{4}

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Frequently Asked Questions (FAQ)

What is simplify-15xy(15x^5y^3) ?
The solution to simplify-15xy(15x^5y^3) is -225x^6y^4