how do i do this?
64 negative cubed divided by 4 to the negative fifth.
the answer is 1/256.
64^-3/4^5 = 4^5/64^3 = 4^2*(4/64)^3
= 16*(1/16)^3 = 1/16^2 =1/256
Is that the only way to do the problem? Thanks so much
To compute 64 negative cubed divided by 4 to the negative fifth, you can follow these steps:
1. Start by evaluating the numerator, which is 64 negative cubed. To do this, cube (-64) to get -64 x -64 x -64 = -262,144.
2. Next, evaluate the denominator, which is 4 to the negative fifth. To compute this, first convert it to a positive exponent. Since anything raised to the power of -a is equal to 1 divided by that number raised to the power of a, 4 to the negative fifth is equivalent to 1 divided by 4 to the positive fifth.
3. Calculate 4 to the power of 5, which is 4 x 4 x 4 x 4 x 4 = 1024.
4. Taking the reciprocal of 1024 gives 1/1024.
5. Therefore, the expression is -262,144 divided by 1/1024.
6. To divide by a fraction, multiply by its reciprocal. So, -262,144 multiplied by 1024/1 equals -268,435,456.
7. Simplifying the result gives -268,435,456.
It seems like there may be an error in the given answer. Double-check your calculations or provide more context if you believe the answer should be 1/256.