Simplify (3^-5)^-3
To simplify the expression, we need to apply the rules of exponents.
When we raise a power to another power, we multiply the exponents. In this case, we have (3^-5)^-3, which means we should multiply -5 by -3:
(-5) * (-3) = 15.
So, (3^-5)^-3 simplifies to 3^15.
Simplify x^-3\cdotx^-6 in exponential form with positive exponents only
To simplify x^-3 * x^-6 in exponential form with positive exponents only, we can apply the rule of multiplying powers with the same base:
When multiplying powers with the same base, we add the exponents. In this case, we have x^-3 * x^-6.
Using the rule, we add -3 and -6:
(-3) + (-6) = -9.
So, x^-3 * x^-6 simplifies to x^-9 in exponential form with positive exponents only.
To simplify the expression (3^(-5))^(-3), we start by applying the exponent rule for raising a power to a power, which states that when we have a power raised to another power, we multiply the exponents. In this case, we have (-5) multiplied by (-3).
So, (3^(-5))^(-3) simplifies to 3^((-5) * (-3)).
Next, we multiply the exponents (-5) and (-3) together:
(-5) * (-3) = 15
Therefore, (3^(-5))^(-3) further simplifies to 3^15.
Hence, the simplified expression is 3^15.