What is 5(40x^4)(8x^5-3)^4 ?

The solution to 5(40x^4)(8x^5-3)^4 is 200x^4(8x^5-3)^4

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simplify 5(40x^4)(8x^5-3)^4

simplify

5 (40 x^{4}) (8 x^{5} - 3)^{4}

200 x^{4} (8 x^{5} - 3)^{4}

Solution steps

5 (40 x^{4}) (8 x^{5} - 3)^{4}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{4} (8 x^{5} - 3)^{4} = (x (8 x^{5} - 3))^{4}

= 5 \cdot 40 (x (8 x^{5} - 3))^{4}

(x (8 x^{5} - 3))^{4} = x^{4} (8 x^{5} - 3)^{4}

= 5 \cdot 40 x^{4} (8 x^{5} - 3)^{4}

Multiply the numbers:

5 \cdot 40 = 200

= 200 x^{4} (8 x^{5} - 3)^{4}

8.01 x 1 0^{- 4}

46.6 e^{- 0.466}

e^{- 3 w} e^{- 5 w}

9.852 \cdot 1 0^{- 10}

1.4 \cdot 0.7 5^{- 2}

What is 5(40x^4)(8x^5-3)^4 ?
The solution to 5(40x^4)(8x^5-3)^4 is 200x^4(8x^5-3)^4