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Popular >

simplify (4x^2y^4)(2x^5y)

Solution

simplify

(4 x^{2} y^{4}) (2 x^{5} y)

Solution

8 x^{7} y^{5}

Solution steps

(4 x^{2} y^{4}) (2 x^{5} y)

Apply exponent rule:

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

x^{2} x^{5} = x^{2 + 5}

= 4 y^{4} \cdot 2 x^{2 + 5} y

Add the numbers:

2 + 5 = 7

= 4 y^{4} \cdot 2 x^{7} y

Apply exponent rule:

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

y^{4} y = y^{4 + 1}

= 4 \cdot 2 x^{7} y^{4 + 1}

Add the numbers:

4 + 1 = 5

= 4 \cdot 2 x^{7} y^{5}

Multiply the numbers:

4 \cdot 2 = 8

= 8 x^{7} y^{5}

Popular Examples

∣ x + 5 ∣ \geq - 9

x^2+4x-20=-x^2+2x+4

x^{2} + 4 x - 20 = - x^{2} + 2 x + 4

4 x^{2} - 5 x - 6 > 0

simplify sqrt(2592)simplify

2592

2/3 (x+3)= 1/3 x+4

\frac{2}{3} (x + 3) = \frac{1}{3} x + 4

Frequently Asked Questions (FAQ)

What is (4x^2y^4)(2x^5y) ?
The solution to (4x^2y^4)(2x^5y) is 8x^7y^5