Final answer:
The radical expression 8 / ⁷√x¹⁵can be written in exponential form as x^(15/7), in exponential form is 8x^(15/7).
Step-by-step explanation:
To convert the radical expression 8 / ⁷√x¹⁵ into exponential form, we need to apply the property that a radical can be expressed as a number raised to a fractional exponent. In this case, we're dealing with the seventh root, which can be expressed as an exponent of 1/7. Additionally, since the exponent of x under the radical is 15, we (1) write the whole number 8 with an exponent of 1 since any number to the power of 1 is the number itself and (2) convert the radical expression for x to an exponent by dividing by 7.
Therefore, the expression can be written in exponential form as
x to the power of 15 divided by 7 is x to the power of 15/7. Therefore, the exponential form of the given expression is 8x15/7.To write the radical expression 8 / ⁷√x¹⁵ in exponential form, we can use the property of fractional exponents. In exponential form, the fractional exponent is expressed as a power. The exponent in the denominator becomes the root of the base. So, ⁷√x¹⁵ can be written as x^(15/7).