Simplify 9^-9•9^-6
To simplify 9^-9 • 9^-6, we can use the rule of exponents that says when multiplying two numbers with the same base, we need to add their exponents.
9^-9 • 9^-6 = 9^(-9 + -6)
Now, we can add the two exponents:
9^(-9 + -6) = 9^(-15)
Therefore, 9^-9 • 9^-6 simplifies to 9^-15.
To simplify the expression 9^(-9) • 9^(-6), we can use the rule of exponents that states when multiplying two terms with the same base, we can add their exponents.
So, in this case, we have 9 raised to the power of -9 multiplied by 9 raised to the power of -6.
To combine these exponents, we add -9 and -6 together: -9 + -6 = -15.
So, 9^(-9) • 9^(-6) can be simplified as 9^(-15).
Therefore, the answer is 1/9^15 or 1/(9^15).
To simplify (9^(-9)) • (9^(-6)), you can use the property of exponents that states when you multiply two numbers with the same base, you add their exponents.
So, in this case, we have (9^(-9)) • (9^(-6)). Adding the exponents, we get 9^(-9 + (-6)) which simplifies to 9^(-15).
Therefore, (9^(-9)) • (9^(-6)) is equal to 9^(-15).