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Leno4ka [110]
2 years ago
7

Simplify the expression. (−3)^−4

Mathematics
1 answer:
vova2212 [387]2 years ago
3 0

Answer:

1/81

Step-by-step explanation:

In the problem, we are given the expression \displaystyle \large{(-3)^{-4}}. To simplify this expression, we have to use laws of exponents since we cannot directly evaluate negative exponent by default. The law of exponent specifically for this expression is:

\displaystyle \large{a^{-n}=\dfrac{1}{a^n}}

Apply the formula to our given expression in.

\displaystyle \large{(-3)^{-4}=\dfrac{1}{(-3)^4}}

Evaluate the expression.

\displaystyle \large{(-3)^{-4}=\dfrac{1}{(-3)(-3)(-3)(-3)}}\\\\\displaystyle \large{(-3)^{-4}=\dfrac{1}{81}}

Always keep in mind that for \displaystyle \large{a^{2n}} when \displaystyle \large{a \in \mathbb{R}} and \displaystyle \large{n \in \mathbb{I} - \{0\}} the expression will always remain positive.

Please let me know if you have any questions!

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Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.
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With the condition that he must maintain $500, the inequality becomes,

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3 years ago
James buys 8 packages, each 20 mechanical pencils, and passes out 1/4 of then to his friends. Write and evaluate an expression t
Usimov [2.4K]

Answer:

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Step-by-step explanation:

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3 years ago
What kind of solution is -4x-4=-7(x+4) ?
natima [27]

~ Simplifying

-4x + -4 = -7(x + 4)

~ Reorder the terms:

-4 + -4x = -7(x + 4)

~ Reorder the terms:

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-4 + -4x = (4 * -7 + x * -7)

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~ Solving

-4 + -4x = -28 + -7x

~ Solving for variable 'x'.

~ Move all terms containing x to the left, all other terms to the right.

~ Add '7x' to each side of the equation.

-4 + -4x + 7x = -28 + -7x + 7x

~ Combine like terms: -4x + 7x = 3x

-4 + 3x = -28 + -7x + 7x

~ Combine like terms: -7x + 7x = 0

-4 + 3x = -28 + 0

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~ Add '4' to each side of the equation.

-4 + 4 + 3x = -28 + 4

~ Combine like terms: -4 + 4 = 0

0 + 3x = -28 + 4

3x = -28 + 4

~ Combine like terms: -28 + 4 = -24

3x = -24

~ Divide each side by '3'.

x = -8

~ Simplifying

x = -8

8 0
3 years ago
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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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