What is 2(x^5)^2(4x^5+3) ?

The solution to 2(x^5)^2(4x^5+3) is 2x^{10}(4x^5+3)

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simplify 2(x^5)^2(4x^5+3)

simplify

2 (x^{5})^{2} (4 x^{5} + 3)

2 x^{10} (4 x^{5} + 3)

Solution steps

2 (x^{5})^{2} (4 x^{5} + 3)

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{5})^{2} = x^{5 \cdot 2}

= 2 x^{5 \cdot 2} (4 x^{5} + 3)

Multiply the numbers:

5 \cdot 2 = 10

= 2 x^{10} (4 x^{5} + 3)

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