The powers of -1 are: -1, +1, -1, +1... So, any odd power of -1 is -1, and any even power of -1 is +1.
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7-2 = 1/72 = 1/49
When we have x to a negative exponent we can move the x to the denominator and make the exponent positive.So x-7 is the same as 1/x7 .In general if we have a-n then this is the same as 1/an .If you start with the negative in the denominator, then you can move it up to the numerator by changing the sign.
when you're doing a problem like that use this trick. let's say you have 3 to the -7 power minus 3 to the 4 power. -7 - 4 can also be shown as -7 + -4. i switched the minus sign to a plus sign and because i did that, i had to switch the positive 4 to a negative 4. so i got 3 to the -7 power plus 3 to the -4 power.
1*10-7
75 x (1/7)5 1/7 = 7-1 So, (1/7)5 = (7-1)5 = 7-5 Replacing this in the original expression gives, 75 x 7-5 = 7(5 -5) = 70 = 1 Alternatively, (1/7)5 = 15/75 = 1/75 we could then write, 75 x 1/75 = 1