Question

Will mark brainliest ❤️

Answer 1

Answer:

See below

Step-by-step explanation:

$5^{-3}$ - When you are raising a number to a negative power, it is the same as dividing 1 by that power when it is positive. So, $5^{-3}$ can be written as: $\frac{1}{5^{3}}$.

$5^3$ is 125, so we can substitute that in to get: $\frac{1}{125}$

$-5^{-3}$ - This expression is the same as the one before, but it is negative. This means we can say $-5^{-3} = -\frac{1}{125}$

$(-5^{-3})^{-1}$ - We can start by writing $-5^{-3}$ as $-1 * 5^{-3}$. Now, we can distribute the exponent -1, and simplify. Remember when raising a power in parenthesis to another power, you multiply them:

$(-1 * 5^{-3})^{-1}\\(-1)^{-1} * (5^{-3})^{-1}\\-1*5^3\\-1*125\\-125$

$(-5^{-3})^0$ - We can start by writing $-5^{-3}$ as $-1 * 5^{-3}$. Now, we can distribute the exponent 0, and simplify:

$(-1*5^{-3})^0\\(-1)^0 * (5^{-3})^0\\1 * 1\\1$

Answer 2

Answer:

1/125, -1/125, -125, 1

Step-by-step explanation:

1. 5^-3 = 1/5^3 = 1/125

2. -5^-3 = 1/-5^3 = -1/125

3. Take the answer above, its the first part of the question; (-1/125)^-1 = -125

4. Any real number raised to the 0th power is one.