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marta [7]
4 years ago
9

Multiply or divide as indicated.

Mathematics
1 answer:
seropon [69]4 years ago
7 0

Rule of exponents:

when bases are the same - They are both x's - you add the exponents.

x^(-8 + -2)  =  x^(-10)  or 1/x^10)


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Rewrite the expression with a rational exponent as a radical expression.
Nuetrik [128]

Answer:

Rewriting the expression (3^\frac{2}{3})^\frac{1}{6} with a rational exponent as a radical expression we get \mathbf{\sqrt[9]{3} }

Step-by-step explanation:

We need to rewrite the expression (3^\frac{2}{3})^\frac{1}{6} with a rational exponent as a radical expression.

The expression given is:

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

First we will simply the expression using exponent rule (a^m)^n=a^{mn}

(3^\frac{2}{3})^\frac{1}{6}\\=(3^\frac{2}{18})

As we know 2 and 18 are both divisible by 2, we can write

=(3^\frac{1}{9})

Now we know that a^\frac{1}{9}=\sqrt[9]{a}

Using this we get

=\sqrt[9]{3}

So, rewriting the expression (3^\frac{2}{3})^\frac{1}{6} with a rational exponent as a radical expression we get \mathbf{\sqrt[9]{3} }

3 0
3 years ago
Find the minimum sample size needed to be 99% confident that the sample's variance is within 30% of the population's variance.
liq [111]

The Minimum sample size table is attached below

Answer:

X=173

Step-by-step explanation:

From the question we are told that:

Confidence Interval CI=99\%

Variance \sigma^2=30\%

Generally going through the table the

Minimum sample size is

X=173

7 0
3 years ago
A salesperson at a jewelry store earns ​5% commission each week. Last​ week, Jarrod sold $640 worth of jewelry. How much did he
Aleksandr-060686 [28]

Answer:

  $32

Step-by-step explanation:

To find the commission, multiply the rate by the sales:

  commission = 5% × $640 = $32

He made $32 in commission.

__

<em>Additional comment</em>

Many calculators and all spreadsheets can work with percentages directly. If yours can't, or if you can't do this arithmetic mentally, you can use the equivalent decimal or fraction for 5%.

  5% = 5/100 = 0.05 = 1/20

Then 5% × $640 = $640/20 = $64/2 = $32.

3 0
3 years ago
Read 2 more answers
If one apple costs $2, how many apples is $12?​
LiRa [457]

Answer:

6 apples because

Step-by-step explanation:

12÷2=6

4 0
3 years ago
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Name the figure shown.
adell [148]
It looks like a scalene triangle but i’m not so sure
7 0
3 years ago
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