What is (3a^2)(5a^3b^4)(ab) ?

The solution to (3a^2)(5a^3b^4)(ab) is 15a^6b^5

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simplify (3a^2)(5a^3b^4)(ab)

simplify

(3 a^{2}) (5 a^{3} b^{4}) (ab)

15 a^{6} b^{5}

Solution steps

(3 a^{2}) (5 a^{3} b^{4}) (ab)

Apply exponent rule:

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

a^{2} a^{3} a = a^{2 + 3 + 1}

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

Add the numbers:

2 + 3 + 1 = 6

= 3 \cdot 5 b^{4} a^{6} b

Apply exponent rule:

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

b^{4} b = b^{4 + 1}

= 3 \cdot 5 a^{6} b^{4 + 1}

Add the numbers:

4 + 1 = 5

= 3 \cdot 5 a^{6} b^{5}

Multiply the numbers:

3 \cdot 5 = 15

= 15 a^{6} b^{5}

e^{- 2 l n ∣ 1 - p ∣}

2 π \cdot 2^{2}

25 (5 \cdot 1 0^{- 3} ((e^{\frac{x}{0.026}}) - 1 - 2 + x))

e^{- 908.4832}

e^{- 6} \cdot (\frac{2 \cdot 3 ^{8}}{8 !})