What is (2X^3)(3X^4)(2X^5) ?

The solution to (2X^3)(3X^4)(2X^5) is 12X^{12}

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simplify (2X^3)(3X^4)(2X^5)

simplify

(2 X^{3}) (3 X^{4}) (2 X^{5})

12 X^{12}

Solution steps

(2 X^{3}) (3 X^{4}) (2 X^{5})

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= X^{3} \cdot 3 X^{4} \cdot 2^{1 + 1} X^{5}

Add the numbers:

1 + 1 = 2

= X^{3} \cdot 3 X^{4} \cdot 2^{2} X^{5}

Apply exponent rule:

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

X^{3} X^{4} X^{5} = X^{3 + 4 + 5}

= 3 \cdot 2^{2} X^{3 + 4 + 5}

Add the numbers:

3 + 4 + 5 = 12

= 3 \cdot 2^{2} X^{12}

2^{2} = 4

= 3 \cdot 4 X^{12}

Multiply the numbers:

3 \cdot 4 = 12

= 12 X^{12}

c u a d r a d o (3 x - 5 y)^{2}

2 π r \cdot 2 π r^{2}

(2 x + 1) e^{- 2 x}

2 0^{- e}