Understanding Negative Exponents - Math

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Question

Solve for :

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Answer

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation.

$\rightarrow $((x+5)^{-3}$$)^{-$\frac{1}${3}$} = $(-1)^{-$\frac{1}${3}$}$

$\rightarrow x+5 = -1$

Subtract from both sides:

$\rightarrow (x+5) - 5 = (-1)-5$

$\rightarrow x = -6$

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Question

Which of the following is equivalent to ?

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Answer

By definition,

.

In our problem, and .

Then, we have .

← Didn't Know|Knew It →

Question

Solve for :

Tap to reveal answer

Answer

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation.

$\rightarrow $((x+5)^{-3}$$)^{-$\frac{1}${3}$} = $(-1)^{-$\frac{1}${3}$}$

$\rightarrow x+5 = -1$

Subtract from both sides:

$\rightarrow (x+5) - 5 = (-1)-5$

$\rightarrow x = -6$

← Didn't Know|Knew It →

Question

Which of the following is equivalent to ?

Tap to reveal answer

Answer

By definition,

.

In our problem, and .

Then, we have .

← Didn't Know|Knew It →

Question

Solve for :

Tap to reveal answer

Answer

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation.

$\rightarrow $((x+5)^{-3}$$)^{-$\frac{1}${3}$} = $(-1)^{-$\frac{1}${3}$}$

$\rightarrow x+5 = -1$

Subtract from both sides:

$\rightarrow (x+5) - 5 = (-1)-5$

$\rightarrow x = -6$

← Didn't Know|Knew It →

Question

Which of the following is equivalent to ?

Tap to reveal answer

Answer

By definition,

.

In our problem, and .

Then, we have .

← Didn't Know|Knew It →

Question

Solve for :

Tap to reveal answer

Answer

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation.

$\rightarrow $((x+5)^{-3}$$)^{-$\frac{1}${3}$} = $(-1)^{-$\frac{1}${3}$}$

$\rightarrow x+5 = -1$

Subtract from both sides:

$\rightarrow (x+5) - 5 = (-1)-5$

$\rightarrow x = -6$

← Didn't Know|Knew It →

Question

Which of the following is equivalent to ?

Tap to reveal answer

Answer

By definition,

.

In our problem, and .

Then, we have .

← Didn't Know|Knew It →

Knew It

Understanding Negative Exponents - Math

Solve for :

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation. Subtract from both sides:

Which of the following is equivalent to ?

By definition, . In our problem, and . Then, we have .

Solve for :

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation. Subtract from both sides:

Which of the following is equivalent to ?

By definition, . In our problem, and . Then, we have .

Solve for :

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation. Subtract from both sides:

Which of the following is equivalent to ?

By definition, . In our problem, and . Then, we have .

Solve for :

Raise both sides of the equation to the inverse power of to cancel the exponent on the left hand side of the equation. Subtract from both sides:

Which of the following is equivalent to ?

By definition, . In our problem, and . Then, we have .

By definition,

.

In our problem, and .

Then, we have .

By definition,

.

In our problem, and .

Then, we have .

By definition,

.

In our problem, and .

Then, we have .

By definition,

.

In our problem, and .

Then, we have .