Question

Name the property the equation illustrates. (ab)3 = a (63) Accociative Property of addition

Answer 1

Question:

Name the property the equation illustrates

(ab)3 = a(b3)

A. Commutative property of addition

B. Associative property of Multiplication

C. Associative Property of Addition

D. Inverse Property of Multiplication

Answer:

Associative property of Multiplication

Solution:

From given equation

(ab)3 = a(b3)

We have to find the property used here

We find the brackets are interchanged

So here, given is a multiplication equation

Therefore, Associative property of Multiplication  is used

Associative property of Multiplication:

This property says that when we are multiplying it does not matter where you put the parenthesis

The result will be same wherever we put the parenthesis in multiplying two or more numbers

Which means,

$a \times (b \times c) = (a \times b) \times c$

Therefore, from given,

$a \times (b \times 3) = (a \times b) \times 3$

Thus associative property of multiplication is used