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Math Tutor's Solution: 78 to the Power of 69 is equal to 35853172087537808434998851286879243190253339114364824483789702763946769013271558352556459957035753483389180370950661418515020382208
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Step-by-step from math tutor: finding 78 to the power of 69
The first step a math tutor would suggest is to understand what it means when a number has an exponent. The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value.
The second step is to write the number in the base-exponent form, and lastly calculate what the final result would be. Consider the example of 2 to the power of 4: in exponent form that would be . To solve this, we need to multiply the base, 2 by itself, 4 times - = 16. So .
So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:
To simplify this, all that is needed is to multiply it out:
78 x 78 x 78 x 78 x ... (for a total of 69 times) = 35853172087537808434998851286879243190253339114364824483789702763946769013271558352556459957035753483389180370950661418515020382208
Therefore, 78 to the power of 69 is 35853172087537808434998851286879243190253339114364824483789702763946769013271558352556459957035753483389180370950661418515020382208.
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