Write the exponents for the base given.

(1) 125 with 5 as base

(2) −343 with (−7) as base

(3) 32 with 2 as base

(4) 10,000 with (−10) as base

(5) −243 with (−3) as base

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Solution

(1) 125 = 5 × 5 × 5 = 5³

Thus, the exponent is 5³

(2) −343 = (−7) × (−7) × (−7) = (−7)³

Thus, the exponent is (−7)³

(3) 32 = 2 × 2 × 2 × 2 × 2 = 2⁵

Thus, the exponent is 2⁵.

(4) 10000 = (−10) × (−10) × (−10) × (−10) = 10⁴

Thus, the exponent is (−10)⁴.

(5) −243 = (−3) × (−3) × (−3) × (−3) × (−3) = (−3)⁵

Thus, the exponent is (−3)⁵.

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