Which expression is equivalent to 3^-4 x 3^6?
To find the equivalent expression, we add the exponents together.
3^-4 x 3^6 = 3^(-4+6) = 3^2 = 9. Answer: \boxed{9}.
To find an equivalent expression to 3^-4 x 3^6, you can combine the two exponents since the bases are the same (which is 3).
When multiplying exponentials with the same base, you add the exponents. So, 3^-4 x 3^6 can be written as 3^(-4 + 6).
Simplifying the exponent, we have:
3^(-4 + 6) = 3^2
Therefore, an equivalent expression to 3^-4 x 3^6 is 3^2.
To find the equivalent expression, we can use the rule of exponents which states that when multiplying two powers with the same base, we add their exponents.
The given expression is:
3^-4 x 3^6
Using the rule of exponents, we add the exponents:
3^(-4 + 6)
Simplifying the exponent:
3^2
Therefore, the expression 3^-4 x 3^6 is equivalent to 3^2.