Question

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

Answer 1

The correct answer is option C

4^7

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

Answer 2

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!