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Popular >

simplify (7y^3)(7y^2)

Solution

simplify

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

Solution

49 y^{5}

Solution steps

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

Apply exponent rule:

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

7 \cdot 7 = 7^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

= 7^{2} y^{3 + 2}

Add the numbers:

3 + 2 = 5

= 7^{2} y^{5}

7^{2} = 49

= 49 y^{5}

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Frequently Asked Questions (FAQ)

What is (7y^3)(7y^2) ?
The solution to (7y^3)(7y^2) is 49y^5