Question

. Simplify. (3¹⁰ ÷ 3⁷) x 2³.

Answer 1

Topic : Power and Exponents

Given : ( 3^10 ÷ 3^7 ) × 2^3

To Find : Simplified Value

Solution :

We will be solving bracket first, to solve bracket we will be using this property,

x^m ÷ x^n = x^(m-n)

( 3^10 ÷ 3^7 ) × 2^3

Using mentioned property,

( 3^(10-7)) × 2^3

3^3 × 2^3

Now, we will be multiplying given terms using the property,

a^x × b^x = (ab)^x

Using mentioned property,

3^3 × 2^3

(3×2)^3

6^3

216

Answer : So, simplified value of given expression is 216.

Additional Formulae :

x^a × x^b = x^(a+b)

x^0 = 1

x^(-1) = 1/x

x^(1/2) = √x

Note :

In the whole solution, a^b represents 'b' as power of 'a'.