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Popular >

simplify (y^2s^4q)(y^3sq^5)

Solution

simplify

(y^{2} s^{4} q) (y^{3} s q^{5})

Solution

y^{5} s^{5} q^{6}

Solution steps

(y^{2} s^{4} q) (y^{3} s q^{5})

Apply exponent rule:

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

y^{2} y^{3} = y^{2 + 3}

= s^{4} q y^{2 + 3} s q^{5}

Add the numbers:

2 + 3 = 5

= s^{4} q y^{5} s q^{5}

Apply exponent rule:

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

s^{4} s = s^{4 + 1}

= q y^{5} s^{4 + 1} q^{5}

Add the numbers:

4 + 1 = 5

= q y^{5} s^{5} q^{5}

Apply exponent rule:

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

q q^{5} = q^{1 + 5}

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

Add the numbers:

1 + 5 = 6

= y^{5} s^{5} q^{6}

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Frequently Asked Questions (FAQ)

What is (y^2s^4q)(y^3sq^5) ?
The solution to (y^2s^4q)(y^3sq^5) is y^5s^5q^6