Rewrite each expression as a single power?

Mathematics

1 answer:

Inessa [10]3 years ago

3 0

Answer:

(90)^4

Step-by-step explanation:

9^4 * 10^4

We know that when the power are the same, but the bases are different

a^b * c^b = (ab)^m

(9*10)^4

(90)^4

You might be interested in

A man standing near a building notices trhat the angle of elevation to the top of the buiilding is 64. he then walks 240 feet fa

trasher [3.6K]

See the picture attached to better understand the problem
we know that
in the right triangle ABC
tan 64°=AB/AC------> AB=AC*tan 64°-----> AB=x*tan 64°---> equation 1

in the right triangle ABD
tan 43°=AB/DA----> AB=DA*tan 43°---> AB=(240+x)*tan 43°---> equation 2

equate equation 1 and equation 2
x*tan 64°-=(240+x)*tan 43°---->x*tan 64=240*tan 43+x*tan 43
x*[tan 64-tan 43]=240*tan 43-----> x=240*tan 43/[tan 64-tan 43]
x=200.22 ft

AB=x*tan 64----> AB=200.22*tan 64-----> AB=410.51 ft

the answer is
410.51 ft