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Match the expression to its simplified form.

a. 5 - 2¹⁷
b. 25²⁵
c. 125²
d. 52 - 4146

1 Answer

6 votes

Final answer:

Expressions a, b, and d are not provided in a form that can be fully simplified without calculation. Expression c, 1252, simplifies to 56 or 15625. Simplifying expressions with exponents often involves operations like multiplying exponents when a power is raised to another power.

Step-by-step explanation:

To match the expression to its simplified form, let's analyze each separately:

  • a. 5 - 217 is not provided in a simplified form that we can evaluate without a calculator, but we can express this difference in terms of subtraction.
  • b. 2525 is already in simplified form as an exponentiation, representing a very large number.
  • c. 1252 can be easily evaluated as it is 53 raised to the 2nd power, by multiplying the exponents (3*2) we get 56, or 15625.
  • d. 52 - 4146 is a simple subtraction problem and its simplified form would be -4094.

When simplifying expressions with exponents, remember that raising a number to a power is a shortcut for multiplication. Also, powers of numbers can be simplified by adding (when multiplying same bases) or multiplying (when raising a power to another power) the exponents.

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