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The power (or index) tells you how many times the number is multiplied (by itself).

eg 5³ = 5 × 5 × 5 (5 multiplied by itself 3 times)

eg 5² = 5 × 5 (5 multiplied by itself 2 times)

If the power is negative, it is the reciprocal of the number to the positive power, ie it is 1 over this number.

eg 5^-3 = 1/(5³) = 1/(5×5×5)

eg 5^-2 = 1/(5²) = 1/(5×5)

Thus 5¹ = 5.

Q: What is 5 to the power 1 and why?

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I am not entirely sure what you mean: If you raise something to a power, you automatically have an exponent.(-5) to the power (-1) is the reciprocal of (-5) to the power 1, so you have 1 / (-5), or -1/5.

If you mean 5 to the power of -1 then it is 1/5

It is equivalent to 1 over 5 to the power of 5, or 1 over 3125.

It is: 1/8 to the power of 5 = 1/32768

They are not! 5-3, for example is not 1/52 nor (1/5)2.

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I am not entirely sure what you mean: If you raise something to a power, you automatically have an exponent.(-5) to the power (-1) is the reciprocal of (-5) to the power 1, so you have 1 / (-5), or -1/5.

If you mean 5 to the power of -1 then it is 1/5

It is: 5/5 to the power of 5 = 1 or 5 to the power of 5-5 = 1

It is equivalent to 1 over 5 to the power of 5, or 1 over 3125.

10 to the 0 power is 10 and 5 to the 0 power is 5 so 10 multiplied by 5 equals 50.

5.

It is: 1/8 to the power of 5 = 1/32768

Any number to the power of one equals the original number. 5 to the power of 1 is 5.

They are not! 5-3, for example is not 1/52 nor (1/5)2.

1/(1^5)= 0.00001

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