1. (52)5 = 510
Power raised to a power → multiply the exponents. |
2. (1.24)5 = 1.220
Decimal base: Power raised to a power → multiply the exponents.
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3. ((-10)3)5 = (-10)15
Negative number base: Power raised to a power → multiply the exponents.
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4.
Fraction base: Power raised to a power → multiply the exponents. |
5.
One of the exponents is negative. Still follow the rule and multiply the exponents. Be careful of the sign. In this case a positive number times a negative number gives a negative number. Then convert to a fraction.
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6. (a4)3 = a12
Variable base: Power raised to a power → multiply the exponents. |
7. (2x)y= 2xy
Power raised to a power → multiply the exponents.
Treat the variables x and y as if they were numbers, and multiply them.
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8. (x2)x+2 = x2x+4
Power raised to a power → multiply the exponents.
Be careful! Be sure to use a parentheses around x + 2 when you multiply: 2(x + 2) = 2x + 4
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