# Find the following product: 0.1y(0.1x5 + 0.1y) - Mathematics

Find the following product:
0.1y(0.1x5 + 0.1y)

#### Solution

To find the product, we will use distributive law as follows:

$0 . 1y\left( 0 . 1 x^5 + 0 . 1y \right)$

$= \left( 0 . 1y \right)\left( 0 . 1 x^5 \right) + \left( 0 . 1y \right)\left( 0 . 1y \right)$

$= \left( 0 . 1 \times 0 . 1 \right)\left( y \times x^5 \right) + \left( 0 . 1 \times 0 . 1 \right)\left( y \times y \right)$

$= \left( 0 . 1 \times 0 . 1 \right)\left( x^5 \times y \right) + \left( 0 . 1 \times 0 . 1 \right)\left( y^{1 + 1} \right)$

$= 0 . 01 x^5 y + 0 . 01 y^2$

Thus, the answer is $0 . 01 x^5 y + 0 . 01 y^2$.

Concept: Multiplication of Algebraic Expressions
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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.4 | Q 7 | Page 21