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

User Remy Sharp
by
6.2k points

2 Answers

5 votes

Answer:

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

User Frenchone
by
5.9k points
6 votes

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!

User Giuseppe
by
5.6k points