Question

Evaluate each expression for the given value(s) of the variables(s).

Answer 1

Answer:

9.  $\frac{1}{10,000} = 0.0001$

10. $\frac{1}{81}$

Step-by-step explanation:

9. $x^{-4}$

Evaluate when x = 10.

Substitute x = 10 into the expression

$10^{-4}$

Apply the negative exponent rule ($a^{-n} = \frac{1}{a^n}$)

Thus:

$= \frac{1}{10^4}$

$= \frac{1}{10^4} = \frac{1}{10,000} = 0.0001$

10. $2a^{-1}b^{-3}$

Evaluate when a = 6 and b = 3

Substitute

$(2*6^{-1})(3^{-3})$

Apply the negative exponent rule

$(2*\frac{1}{6})(\frac{1}{3^3})$

$(\frac{2}{6})(\frac{1}{27})$

$\frac{2*1}{6*27}$

$\frac{1}{81}$

Answer 2

$\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}$

Question : 9

plugging the value of x as 10, we get

$\longrightarrow\: \: x {}^{ - 4}$

$\longrightarrow\: 10 {}^{ - 4}$

$\longrightarrow \dfrac{1}{10 {}^{4} }$

$\longrightarrow\dfrac{1}{10000}$

$\longrightarrow0.0001$

Question : 10

plugging the value of

• a as 6
• b as 3

$\longrightarrow2 {a}^{ - 1} b {}^{ - 3}$

$\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3}$

$\longrightarrow \dfrac{2}{6 \times 27}$

$\longrightarrow \dfrac{2}{162}$

$\longrightarrow \dfrac{1}{81}$

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