The value of r in terms of t is 5t/3.
What are exponents?
A term written aˣ is an exponential term. Its value is obtained by multiplying a with itself x number of times. The term aˣ is read as
a raised to the power of x.
How do we solve the given question?
Given r⁸ = 5, r⁷ = 3/t. We are asked to determine the value of r in terms of t.
We will apply the exponential rule [tex]\frac{x^{a} }{x^b} = x^{a-b}[/tex].
Let our equations be r⁸ = 5 ... (1), and r⁷ = 3/t ... (2).
Dividing (1) by (2), we get
r⁸/r⁷ = 5/(3/t)
or, r⁸-⁷ = 5t/3 (using the rule [tex]\frac{x^{a} }{x^b} = x^{a-b}[/tex] )
or, r = 5t/3.
∴ The value of r in terms of t is 5t/3.
Learn more about the exponential rules at
https://brainly.com/question/11761858
#SPJ2
