Consider the expression “four-fifths to the third power.” Rewrite this expression using decimals, first in exponential form and then in expanded form. Then, write the original expression using fractions, first in exponential form and then in expanded form. Identify the base and the exponent of both exponential expressions. Finally, evaluate both the decimal version and the fraction version of the expression.

Write the expression “four-fifths to the third power” as a numeric expression using decimals in exponential form.

Write the expression in expanded form.

Write the expression “four-fifths to the third power” as a numeric expression using fractions in exponential form.

Write the expression in expanded form.

Identify the base and the exponent of both exponential expressions.

Evaluate the decimal and fraction versions of the expression.

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