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

describe shakespeare's theatre?
What is the range of the relation A. {–3, –2, 0, 2} B. {–3, 3} C. {–4, –2, 1, 2} D. {–4, –3, –2, 1, 0, 2}
The character Jack Skellington appears in which 1993 Tim Burton film
what is the suffix of secede
A circle has a diameter of 15 feet. What is the circumference of the circle? (Express your answer using π.) A.15/π ft. B.15π ft. C.30π ft. D.π/15 ft. Help me
what is the greatest common factor of 90 and 33
what is the highest honor that Canadians can receive?
What is the biggest selling Christmas single of all time?
What is the value of the function 3/2t - 5/2 when t = 3?
what does the idiom "a penny is a lot of money if you haven't got a penny" mean