Question

17. Write 3.p.p.p.3.3 using exponents. 3³.0³ 33 P 3.p.pop• 3.3=3•3•3•p•p • p = 3³•³ ​

Answer 1

By using exponent, 3.p.p.p.3.3 can be written as 3³ · p³

What are the laws of indices?

In Mathematics, laws of indices can be defined as the standard principles and rules that are used for simplifying a mathematical equation or expression that involves powers  of the same base.

This ultimately implies that, a product that has repeated factors can be expressed as a power by using an exponent and a base.

What is an exponent?

An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.

3.p.p.p.3.3 = 3 × p × p × p × 3 × 3

3 × p × p × p × 3 × 3 = 3 × 3 × 3 × p × p × p

3 × 3 × 3 × p × p × p = 3¹ × 3¹ × 3¹ × p¹ × p¹ × p¹

3¹ × 3¹ × 3¹ × p¹ × p¹ × p¹ = 3⁽¹ ⁺ ¹ ⁺ ¹⁾ × p⁽¹ ⁺ ¹ ⁺ ¹⁾

3⁽¹ ⁺ ¹ ⁺ ¹⁾ × p⁽¹ ⁺ ¹ ⁺ ¹⁾ = 3³ × p³

3³ × p³ = 3³ · p³

Read more on exponent here: brainly.com/question/25263760

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