Solve (10×7×9)^(-5): Negative Exponent Expression Challenge

Question

Insert the corresponding expression:

$\left(10\times7\times9\right)^{-5}=$

00:00 Simplify the following problem

00:03 According to the exponent laws, when we have a negative exponent

00:06 We can convert to the reciprocal number and obtain a positive exponent

00:09 We will apply this formula to our exercise

00:12 We'll write the reciprocal number (1 divided by the number)

00:17 Proceed to raise it to the positive exponent

00:23 This is the solution

We have the expression $\left(10 \times 7 \times 9\right)^{-5}$ .

According to the rule for negative exponents, which states that $a^{-n} = \frac{1}{a^n}$ , this expression can be rewritten as the reciprocal:

$\left(10 \times 7 \times 9\right)^{-5} = \frac{1}{\left(10 \times 7 \times 9\right)^5}$ .

Thus, the simplified expression is:

$\frac{1}{\left(10 \times 7 \times 9\right)^5}$ .

$\frac{1}{\left(10\times7\times9\right)^5}$