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

92.8% write the percent as a decimal?
Among third-party candidates, which one is thought to have split the conservative vote in a recent election? a. John Edwards b. Pat Buchanan c. Ross Perot d.
3 characteristic of a good math explanation
Why did Maryland settlers challenge Lord Baltimore in the 1630s and 1640s?
What is 6004720080 in expanded form
The natural vegetation regions of sub-Saharan Africa a. are heavily impacted by human activity. b. only correspond to climatic conditions in areas of West Afr
All of the following powers are exercised by the roman senate during the republic except
1.1x +1.2x−5.4=−10 , What steps do I do to solve this
Evaluate the differing views of the Renaissance held by Jacob Burckhardt and Peter Burke. Do you believe that the Renaissance is a distinct period? Explain.
How did Thomas More’s work help spread humanistic ideas?