Calculate 7^9 × 7: Solving a Power Multiplication Problem

Question

$7^9\times7=$

00:00 Simply

00:03 According to the laws of exponents, multiplying exponents with the same base (A)

00:07 equals the same base raised to the sum of the exponents (N+M)

00:11 We will use this formula in our exercise

00:14 We will sum the exponents and raise to this power

00:17 And this is the solution to the question

According to the property of powers, when there are two powers with the same base multiplied together, the exponents should be added.

According to the formula: $a^n\times a^m=a^{n+m}$

It is important to remember that a number without a power is equivalent to a number raised to 1, not to 0.

Therefore, if we add the exponents:

$7^{9+1}=7^{10}$

$7^{10}$