Simplify (4^-5)^-3 write your answer in exponential form
To simplify (4^-5)^-3, we can apply the exponent rule which states that when raising a power to another power, we multiply the exponents.
So, we can simplify it as:
(4^-5)^-3 = 4^(-5 × -3)
When multiplying two negative exponents, the result is positive. Therefore, -5 × -3 = 15.
Hence, the simplified expression in exponential form is 4^15.
To simplify the expression (4^-5)^-3, we can first simplify the base, which is 4^-5.
To simplify 4^-5, we can use the rule that states when you have a negative exponent, you can move the base to the opposite side of the fraction and change the sign of the exponent. So, 4^-5 becomes 1/4^5.
Next, we have (1/4^5)^-3. For this expression, we can use another rule that states when you have a power raised to another power, you can multiply the exponents. So, (1/4^5)^-3 becomes 1/(4^5 * -3).
Finally, we can calculate 4^5 * -3, which is equal to -192. Therefore, the simplified expression in exponential form is 1/-192.
To simplify the expression (4^-5)^-3, we need to recall the rule of exponentiation, which states that (a^m)^n is equal to a^(m * n).
In this case, we have (4^-5)^-3. Applying the exponentiation rule, we can rewrite this as 4^(-5 * -3).
Multiplying -5 and -3 gives us 4^15. Therefore, the simplified expression in exponential form is 4^15.