All categories

3 years ago

Simplify the expression. (p^9)^−2

Mathematics

2 answers:

EastWind [94]3 years ago

6 0

p9/p3 Final result : p6 Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p3" was replaced by "p^3". 1 more similar replacement(s).

Step by step solution :Step 1 : p9 Simplify —— p3 Dividing exponential expressions :

1.1 p9 divided by p3 = p(9 - 3) = p6

Final result : p6

frosja888 [35]3 years ago

4 0

Answer:

$(p^9)^{-2}=p^{-18}$

Step-by-step explanation:

$(p^9)^{-2}$

To simplify the given expression we apply exponential property.

Multiply the outside exponent with inside exponent

$(a^m)^n= a^{mn}$

when we multiply the outside exponent -2 inside 9 , it becomes -18

So the given expression becomes

$(p^9)^{-2}=p^{-18}$

You might be interested in

write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).

Novosadov [1.4K]

You can answer this question by plugging the given values into point-slope form, which is y - y_{1} = m (x - x_{1}). M will represent slope and x_{1} and y_{1} will represent the x and y coordinates.

y - y_{1} = m (x - x_{1}) Substitute in the values
y - (-5) = 4 (m - 4) Cancel out the -(-5)
y + 5 = 4 (m - 4) Use the Distributive Property
y + 5 = 4m - 16 Subtract 5 from both sides

y = 4m - 21

3 0

2 years ago

X + (4 1/3)= (-2 5/6)

vladimir1956 [14]

Answer:

x+((4 + 1/3))=(-(2 + 5/6))

6x = -43

x≈ -7.166667

3 0

3 years ago

What is the inverse function of g(x)=1/x-2

kkurt [141]

Assuming it's $g(x)=\dfrac{1}{x-2}$

$y=\dfrac{1}{x-2}\\ x-2=\dfrac{1}{y}\\ x=\dfrac{1}{y}+2\\ g^{-1}(x)=\dfrac{1}{x}+2$

3 0

2 years ago

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from ea

777dan777 [17]

Answer:

The mean and standard deviation of Y is $6.56 and $2.77 respectively.

Step-by-step explanation:

Consider the provided information.

Let Y represent their profit on a randomly selected pizza with this promotion.

The company is going to run a promotion where customers get $2 off any size pizza.

Therefore, $Y=\text{Profit}-\$2$

$Y=X-\$2$

So the mean will be reduced by 2.

$\mu_Y=\mu_X-\$2$

$\mu_Y =\$ 8.56 - \$2$

$\mu_Y =\$6.56$

If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.

Therefore $\sigma_Y=\sigma_X=2.77$

Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.

3 0

2 years ago

There is a Saturday performance at a local theater. A theater charges $9 for an adult ticket and $4 for a child ticket. All 1020

Whitepunk [10]

Let x tickets sold be adults, then (1024-x) were of childrens tickets, 9x+(1024-x)4 = 7680. The above equation is for total money solve it you will get x=720 hence, number of adult tickets were 720 and number of child tickets were 300 :)

5 0

2 years ago

Read 2 more answers