What is (5x^5y^2)(5x^5y^7) ?

The solution to (5x^5y^2)(5x^5y^7) is 25x^{10}y^9

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simplify (5x^5y^2)(5x^5y^7)

simplify

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

25 x^{10} y^{9}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 1 = 2

= x^{5} y^{2} \cdot 5^{2} x^{5} y^{7}

Apply exponent rule:

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

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

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

Add the numbers:

5 + 5 = 10

= y^{2} \cdot 5^{2} x^{10} y^{7}

Apply exponent rule:

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

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

= 5^{2} x^{10} y^{2 + 7}

Add the numbers:

2 + 7 = 9

= 5^{2} x^{10} y^{9}

5^{2} = 25

= 25 x^{10} y^{9}

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3 π