Simplify
y^3/y^10
My answer is 1/y^7 but I'm not sure of the steps that got me to the answer.
easy. Note that
y^3 / y^10 = y^3 / y^3*y^7
The y^3 factors cancel, and you are left with 1/y^7
Or, use the rule that in division, you subtract exponents, so
y^3/y^10 = y^(3-10) = y^-7 = 1/y^7
Thank you
To simplify the expression (y^3)/(y^10), you need to use the quotient rule of exponentiation. The rule states that when dividing two numbers with the same base, you subtract the exponents.
In this case, the base is y, and the exponent in the numerator is 3, while the exponent in the denominator is 10. Applying the quotient rule, you subtract the exponent in the denominator from the exponent in the numerator:
y^3/y^10 = y^(3-10) = y^(-7)
Now, we have y^(-7). A negative exponent indicates that the base should be moved to the denominator. Therefore, we rewrite the expression as:
1/y^7
So, your answer, 1/y^7, is correct!