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Popular >

simplify 4x^5y^4(5x^5y^4)

Solution

simplify

4 x^{5} y^{4} (5 x^{5} y^{4})

Solution

20 x^{10} y^{8}

Solution steps

4 x^{5} y^{4} (5 x^{5} y^{4})

Apply exponent rule:

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

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

= 4 y^{4} \cdot 5 x^{5 + 5} y^{4}

Add the numbers:

5 + 5 = 10

= 4 y^{4} \cdot 5 x^{10} y^{4}

Apply exponent rule:

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

y^{4} y^{4} = y^{4 + 4}

= 4 \cdot 5 x^{10} y^{4 + 4}

Add the numbers:

4 + 4 = 8

= 4 \cdot 5 x^{10} y^{8}

Multiply the numbers:

4 \cdot 5 = 20

= 20 x^{10} y^{8}

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Frequently Asked Questions (FAQ)

What is 4x^5y^4(5x^5y^4) ?
The solution to 4x^5y^4(5x^5y^4) is 20x^{10}y^8