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Answer:
Problem 5: 4/25
Problem 6: 1
Problem 7: 1/64
Step-by-step explanation:
Problem 5: (4/10)² = (4²/10²) = 16/100. To simplify, divide 4/4 or divide both numerator and denominator by 4 = 4/25
Problem 6 Explanation: The rule is that any number raised to the power of 0 equals to 1. So if 2 or 1,000,000 is raised to the power of 0 it equals 1.
Problem 7 Explanation: The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base. So 4^(-3) = 1/(4^3) = 1/(4*4*4) = 1/64. The answer is 1/64.