I need help with this one , please .  (13)^2(13)^-4(13)^5 = 13^_____    to what power ?    Can you explain please

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the numerical expression:

(13)^2(13)^-4(13)^5

Determine the final degree of 13

Solution:

In order to determine the final answer, we apply the rules of exponents, which involve multiplication between two or more numbers.

(a^n)(b^n) = n+n

it states that whenever a number with a degree is multiplied to another number with a degree, we add their degrees/exponent together.

(13)^2(13)^-4(13)^5

The exponents of the each number are as follows; 2, - 4, 5

Now we need to add them all together.

= 2, -4 , 5

= 3

(13)^3

Final Answer:

13^3