Solve the Power Expression: 10^12 × 9^6 × 9^12

Question

Insert the corresponding expression:

$10^{12}\times9^6\times9^{12}=$

00:00 Simplify the following problem

00:03 According to the laws of exponents, a product that is raised to the power (N)

00:06 Equals a product where each factor is raised to the same power (N)

00:16 Note which factors are raised to the same power

00:20 We'll apply this formula to our exercise

00:23 We'll place these factors inside of parentheses raised to the power (N)

00:30 This is the solution

Given $10^{12}$ and $9^{12}$ , apply the property $a^m \times b^m = (a \times b)^m$ , to rewrite part of the expression as:

$10^{12} \times 9^{12} = (10 \times 9)^{12}$ .

The expression now becomes:

$(10 \times 9)^{12} \times 9^6$ .

Therefore, the expression $10^{12} \times 9^6 \times 9^{12}$ simplifies to $(10 \times 9)^{12} \times 9^6$ .

$\left(10\times9\right)^{12}\times9^6$