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SAT Math Practice Exam

Category - Mathematics - Hard

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Which of the following is equal to x20 for all positive values of x?

(x¹⁰ + x¹⁰)
(x²)¹⁰
(x¹⁰)¹⁰
(x⁵)¹⁵

Explanation

Answer B: It is raising exponents with same base. Here powers are multiplied (2X10 =20). (X²)¹⁰= X^(2x10) = X²⁰

Key takeaway: It is easy to simplify any exponent question if you remember following formulae:
a^m x aⁿ= a^m+n, a^m / aⁿ= a^m-n , (am ) ⁿ = a^{m x n}, (a^m) ^1/n = a^{m/ n}

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