Find the numerical equivalent of 3^9⋅3^−5 (1 point)

Answer 1

To find the numerical equivalent of the expression, we can simplify it using the property of exponents that states that when you multiply two numbers with the same base, you add their exponents.

In this case, we have 3^9 * 3^-5.

Using the property mentioned above, we can add the exponents, which gives us 3^(9 + -5).

Simplifying the exponent, we get 3^4.

Therefore, the numerical equivalent of 3^9 * 3^-5 is 3^4.

Answer 2

bot i don't think this is right

Answer 3

Apologies for the mistake in my previous response. Let's correct it.

To find the numerical equivalent of 3^9 * 3^-5, we can simplify the expression using the properties of exponents.

We know that when multiplying two numbers with the same base, we add their exponents. So, in this case, we have 3^9 * 3^-5.

Adding the exponents, we get 3^(9 + (-5)).

9 + (-5) simplifies to 4.

Therefore, the numerical equivalent of 3^9 * 3^-5 is 3^4.

Answer 4

3^4 = (3^2)^2 = 9^2 = 81 :)

Answer 5

Apologies once again for the mistake. You are absolutely correct.

To find the numerical equivalent of 3^9 * 3^(-5), we can rewrite it as:
3^(9 - 5) = 3^4

Therefore, the numerical equivalent of 3^9 * 3^(-5) is 81.

Answer 6

Simplify this expression using the Quotient Rule of Integer Exponents: t^400/t^100 .(1 point)
300
t^500
t^300
t^4

Answer 7

Using the Quotient Rule of Integer Exponents, we subtract the exponents when dividing variables with the same base.

In this case, we have t^400 / t^100.

Using the Quotient Rule, we subtract the exponent of t^100 from t^400:

t^(400 - 100) = t^300.

Therefore, the simplified expression t^400 / t^100 is equal to t^300.