Question

4^3 * 4^4 = A) 4^-1 B) 4^1 C) 4^7 D) 4^12

Answer 1

Hello!

The answer is:

The correct option is:

C) $4^{3}*4^{4}=4^{7}$

Why?

To solve the problem, we need to remember the product of powers with the same base property, the property is defined by the following relation:

$a^{m}*a^{n}=a^{m+n}$

If we are multiplying two or more powers with the same base, we must keep the base and add/subtract the exponents.

So, we are given the expression:

$4^{3}*4^{4}$

We can see that both powers have the same base (4), so solving we have:

$4^{3}*4^{4}=4^{4+3}=4^{7}$

Hence, we have that the correct option is:

C) $4^{3}*4^{4}=4^{7}$

Have a nice day!

Answer 2

Answer:

The correct answer is option C

4^7

Step-by-step explanation:

Points to remember

Identities

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

x⁻ᵃ = 1/xᵃ

To find the correct option

It is given that,

4^3 * 4^4

⇒ 4³ * 4⁴

By using identities we can write,

4³ * 4⁴  = 4⁽³ ⁺ ⁴)

 = 4⁷

Therefore the correct option is option C.  4^7