Question

what is 4⁹ * 4³ simplified?

Answer 1

4⁹ * 4³ = 2²⁴

Step-by-step explanation:

4⁹ * 4³

=  (2 * 2) ⁹ * (2 * 2)³

using (a * b)ⁿ = aⁿ * bⁿ

= 2⁹ * 2⁹  * 2³  * 2³

using aⁿ * aˣ = aⁿ⁺ˣ

= 2⁽⁹⁺⁹⁺³⁺³⁾

= 2²⁴

4⁹ * 4³ = 2²⁴

Learn more:

(3⁴)² ÷ [3⁴ X 3⁵] : Evaluate. - Brainly.in

https://brainly.in/question/5030040

8^12*64^a*40^24*25^13=40^5

https://brainly.in/question/12775783

Answer 2

Given: What is $4^{9}\times 4^{3}=?$ SIMPLIFIED

To Find: $4^{9}\times 4^{3}=?$ SIMPLIFIED

Step-by-step explanation:

∴ $4^{9}\times 4^{3}$

$=(2\times 2)^{9} \times (2\times 2)^{3}$

$=2^{9}\times 2^{9} \times 2^{3}\times 2^{3}$   (∵ $(x\times x)^{a}=x^{a}\times x^{a}$)

$=2^{9+9+3+3}$  (∵$x^{a}\times x^{b}=x^{a+b}$)

$=2^{24}$

So, The Answer is $2^{24}$