Multiply Powers with Same Base: Solving 4² × 4⁴

Question

42×44= 4^2\times4^4=

Video Solution

Solution Steps

00:06 When multiplying powers with the same base,
00:10 add the exponents together. For example, the answer is six.
00:14 And that's how we solve it!

Step-by-Step Solution

To solve the exercise we use the property of multiplication of powers with the same bases:

anam=an+m a^n * a^m = a^{n+m}

With the help of this property, we can add the exponents.

42×44=44+2=46 4^2\times4^4=4^{4+2}=4^6

Answer

46 4^6