Question

Find the equivalent expression using the

same bases.
(70 - 22)5/xy
a.(48^ )⋅x⁵

b. (48−x)⁵

c.48⁵x)⁵

d. 48⁵⋅x −5

Answer 1

The equivalent expression using the same bases is b. 48 -
`x^5.`

Step-by-step explanation:

To find the equivalent expression, let's simplify the given expression (70 - 22) * (5/xy):

48 * (5/xy)

Now, since the base is the same (48) and we have a common exponent (5), the equivalent expression is
`(48 - x)^5.`Therefore, the correct option is (b)
`(48 - x)^5.`

Option (a) (48^ ) *
`x^5 i`s incorrect as it suggests a product of two terms and doesn't match the given expression. Option (c)
`48^5x^5` is also incorrect as it lacks the subtraction of x. Option (d)
`48^5 * x^(-5)` is not equivalent to the given expression as it introduces a negative exponent for x.

In conclusion, the correct equivalent expression is
`(48 - x)^5,` matching the given expression (70 - 22) * (5/xy).