Multiply Powers with Same Base: Solving 4² × 4⁴

Question

42×44= 4^2\times4^4=

Video Solution

Solution Steps

00:00 Product of powers with equal bases
00:01 The result equals the sum of powers, 6
00:03 And that's the solution!

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