Simplify the following expression.
9^-53 ⋅ 9^37
The bases are the same so add the exponents
9^(-53 + 37)
= 9^(-16)
9^37 / 9^53 = 9^(37 -53)
To simplify the given expression, we need to use the exponent properties. The rule states that when you multiply two numbers with the same base, you can add their exponents.
In this case, we have 9 raised to -53 multiplied by 9 raised to 37. To simplify, we can add the exponents:
9^-53 ⋅ 9^37 = 9^(-53 + 37)
Now we can simplify the expression inside the brackets:
-53 + 37 = -16
Therefore, the simplified expression is:
9^(-16)