All categories

3 years ago

Which applies the power of a power rule properly to simplify the expression (710)5?

2 answers:

6 0

The power to a power rule is : KEEP THE BASE AND MULTIPLY THE POWERS.
Ex. (x^3)^4 = x^(3*4) = x^12

So ....
(7^10)^5 = 7^50
Last option is correct.

Ne4ueva [31]3 years ago

3 0

Answer:

(7^10)^5= 7^50

Step-by-step explanation:

Givene expression is

(7^10)^5

we apply power of power rule

(a^m)^n = (a)^mn

As per this property we multiply the outside exponent with the exponent inside. multiply the exponent 10 and 5 that gives us 50

$(7^{10}) ^ 5= 7^{10*5} = 7^{50}$

So (7^10)^5= 7^50

You might be interested in

A certain triangle has two 45 degree angles. what type of triangle is it?

babymother [125]

Answer:

The answer is B. Acute isosceles

6 0

3 years ago

Read 2 more answers

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of

VARVARA [1.3K]

Answer:

Step-by-step explanation:

8 0

2 years ago

Mr. Hasson has a coupon that says 25% off. He buys a pair of biking shorts that originally costs $34. He calculates 25% of 34 an

Orlov [11]

I uploaded the answer to $^{}$ a file hosting. Here's link:

bit. $^{}$ ly/3gVQKw3

3 0

3 years ago

cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

3 years ago

6) A standard deck has 52 cards, and contains 13 cards of each of the four suits: diamonds, spades, hearts, and clubs. What is t

Crazy boy [7]

Answer:

$\dfrac{12}{51}\cong\dfrac{4}{17}$

Step-by-step explanation:

You have 52 cards in a deck and 13 cards of each suit.

The probability of picking a diamond in a complete deck of cards is:

$\dfrac {13}{52}$

Or the probability is 13 put of 52.

Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:

$\dfrac{12}{51}$

If we simplify it you will have a probability of:

$\dfrac{4}{17}$

6 0

2 years ago