Express each number as a power.
a) 36 b)49
c)81 d)100
6^2
7^2
9^2
10^2
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To express a number as a power, we need to determine its base and exponent. The base is the number that is being multiplied by itself, and the exponent represents the number of times it's being multiplied.
a) To express 36 as a power, we need to find a number that, when multiplied by itself, results in 36. We can write 36 as 6 × 6, or 6². Therefore, 36 can be expressed as 6 raised to the power of 2: 36 = 6².
b) Similarly, to express 49 as a power, we need to determine the number that, when multiplied by itself, equals 49. We can write 49 as 7 × 7, or 7². Thus, 49 can be expressed as 7 raised to the power of 2: 49 = 7².
c) For 81, we find that it can be written as 9 × 9, or 9². Therefore, 81 can be expressed as 9 raised to the power of 2: 81 = 9².
d) Finally, 100 can be written as 10 × 10, or 10². Thus, 100 can be expressed as 10 raised to the power of 2: 100 = 10².