Question

Can you please give the answer to my question..... It's from the chapter Exponents and powers. And the question is simplify and write in exponential form. And the answer given at the back of the book is a
${a}^{2}$
But I got 'a to the power of 8/a to the power of 6'. So please help me to get the answer.​

Answer 1

Answer:

a^2

Step-by-step explanation:

(a^3*a^5)/a^6           as (a^2)^3=a^6

a^(3+5)/a^6

a^8/a^6                    as a^3*a^5=a^8

a^(8-6)

a^2                            as a^8/a^6=a^2

Answer 2

Answer:

a^2 as you said

Step-by-step explanation:

a^8/a^6 is the answer you got.

that is absolutely right!

when you have got two numbers with the same base but different exponents, you can find the answer by subtracting the exponent in the numerator with the exponent in the denominator.

so, in your answer,

a^8/a^6

=a^(8-6)

=a^2

you were very close.. just remember this rule the next time you solve these type of questions

ciao!