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Math Tutor's Solution: 98 to the Power of 78 is equal to 206839702292837295898069916397721464874159505726286201136902256843873925605536354546725253670406846242312675776980767364202531211348787886241429313441234944
Methods
Step-by-step from math tutor: finding 98 to the power of 78
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:
98 x 98 x 98 x 98 x ... (for a total of 78 times) = 206839702292837295898069916397721464874159505726286201136902256843873925605536354546725253670406846242312675776980767364202531211348787886241429313441234944
Therefore, 98 to the power of 78 is 206839702292837295898069916397721464874159505726286201136902256843873925605536354546725253670406846242312675776980767364202531211348787886241429313441234944.
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