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Popular >

simplify (x^2y^3)(x^4y^7)

Solution

simplify

(x^{2} y^{3}) (x^{4} y^{7})

Solution

x^{6} y^{10}

Solution steps

(x^{2} y^{3}) (x^{4} y^{7})

Apply exponent rule:

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

x^{2} x^{4} = x^{2 + 4}

= y^{3} x^{2 + 4} y^{7}

Add the numbers:

2 + 4 = 6

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

Apply exponent rule:

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

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

= x^{6} y^{3 + 7}

Add the numbers:

3 + 7 = 10

= x^{6} y^{10}

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Frequently Asked Questions (FAQ)

What is (x^2y^3)(x^4y^7) ?
The solution to (x^2y^3)(x^4y^7) is x^6y^{10}