Question

Multiply :-please give me the answer by step by step and the question is:-6/7 ab³ by 4/3 a²b​

Answer 1

-8/7 a³b⁴

Explanation:

You want the product of -6/7ab³ and 4/3a²b.

Multiplication

The usual rules of multiplication apply. The multiplication operation is commutative and associative. Fractions are multiplied in the usual way, and the variable exponents are added when the variables are multiplied. A factor of 3 cancels from the fraction to reduce it to lowest terms. There is one minus sign, so the product is negative.

`\left(-(6)/(7)ab^3\right)\left((4)/(3)a^2b\right)=\left(-((2\cdot3)\cdot4)/(7\cdot3)\right)\left(a\cdot a^2\right)\left(b^3\cdot b\right)=-(8)/(7)a^(1+2)b^(3+1)\\\\\\=\boxed{-(8)/(7)a^3b^4}`

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Additional comment

The rule for exponents is ...

(a^p)(a^q) = a^(p+q)

It may help to think of the exponent as signifying the number of times the base appears as a factor in the product.

a · a² = a · (a · a) = a · a · a = a³