zykeniyyaken zykeniyyaken
  • 13-11-2022
  • Mathematics
contestada

Simplify this equation:
[tex] {7}^{8} \times {7}^{3} \times {7}^{4} \div {7}^{9} \times {7}^{5} [/tex]

​

Simplify this equation tex 78 times 73 times 74 div 79 times 75 tex class=

Respuesta :

devishri1977
devishri1977 devishri1977
  • 13-11-2022

Answer:

7

Step-by-step explanation:

Exponent law:

        [tex]\sf a^m * a^n = a^{m+n}\\\\\dfrac{a^m}{a^n}=a^{m-n}[/tex]

In exponents multiplication, when bases are same add the powers.

In exponents division, if bases are same subtract the powers.

[tex]\sf \dfrac{7^8*7^3*7^4}{7^9*7^5}=\dfrac{7^{8+3+4}}{7^{9+5}}[/tex]

                  [tex]\sf =\dfrac{7^{15}}{7^{14}}\\\\=7^{15-14}\\\\=7^1\\\\=7[/tex]

Answer Link

Otras preguntas

The circle of volcanoes around the Pacific Ocean is called _____. baja california the ring of fire the yucatan peninsula the altiplano plain
Disadvantage of energy bars is that they
23rd term:0.1,0.15,0.2,0.25
how would you describe the New Deal that President Roosevelt promised the American people?​
The bakufu was _____. a lesser warrior of Japan's feudal age a warrior lord of Japan's feudal age a Japanese military commander the Japanese military government
How many 4-digit multiples of 2 are there?
What is the molecular formula for ammonium nitrate?
A competitor will often lower prices in an effort to __________. A. increase trade B. attract business C. create monopolies D. decrease production
What is 40.99 times 2.1
describe two different types of paths a raindrop falling in the mountains might take to reach the ocean