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Math Tutor's Solution: 91 to the Power of 98 is equal to 968403716448174240040833343956720803601750793637954308090296926347688442761325697540513623232875258503149107143668821688778019784853420046397774627411018042395117155436436842279628087592892121
Methods
Step-by-step from math tutor: finding 91 to the power of 98
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:
91 x 91 x 91 x 91 x ... (for a total of 98 times) = 968403716448174240040833343956720803601750793637954308090296926347688442761325697540513623232875258503149107143668821688778019784853420046397774627411018042395117155436436842279628087592892121
Therefore, 91 to the power of 98 is 968403716448174240040833343956720803601750793637954308090296926347688442761325697540513623232875258503149107143668821688778019784853420046397774627411018042395117155436436842279628087592892121.
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