Question

( 2⁰ + 4⁻¹ ) x 2² is equal to​

Answer 1

5

Step-by-step explanation:

(2⁰ + 4-¹)×2²

a⁰ = 1 and a^(-m) = 1/a^m

=> (1 + 1/4¹) × 2 × 2

=> (1 + 1/4) × 4

by distributive property,

=> (4×1) + (4 × 1/4)

=> 4 + (4/4)

=> 4+1

=> 5

Answer 2

( 2⁰ + 4⁻¹ ) x 2² is equal to 5

Given : ( 2⁰ + 4⁻¹ ) x 2²

To find : The answer to the given mathematical problem.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Now,

= ( 2⁰ + 4⁻¹ ) x 2²

$= (1 + \frac{1}{ {4}^{1} } ) \times {2}^{2}$

$= (1 + \frac{1}{4} ) \times ( 2\times2)$

$= ( \frac{(4 \times 1) + 1}{4} ) \times 4$

$= \frac{5}{4} \times 4$

$= 5$

(This will be considered as the final result.)

Used formula :

• ${x}^{0} = 1$
• ${x}^{ - n} = \frac{1}{ {x}^{n} }$
• ${x}^{1} = x$

Hence, ( 2⁰ + 4⁻¹ ) x 2² is equal to 5