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
When a number is raised to a negative exponent, it is equivalent to its reciprocal raised to the positive exponent. Therefore, x to the power of -7 is equal to 1 divided by x to the power of 7, or 1/x^7.
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.
In exponent form, -28 would be written as -1 x 2^2 x 7. This is because -28 can be broken down into -1 (the negative sign), 2 (as 2^2), and 7. Therefore, in exponent form, -28 is expressed as -1 x 2^2 x 7.
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.
why not !
1*10-7
7/10
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
You multiply the exponents. For instance (23)3 = 29 : (54)1/2 = 52: (7-2)5 = 7-10
7
It is called an exponent. Thus if you see 7 with a small number whose value is 5 in the upper right of 7, it means multiply 7 by itself 5 times, in other words it is a short hand notation for 7x7x7x7x7 which yields16807. The exponent can be negative. So 7 with a -5 in the upper right of 7 means the reciprocal of 7x7x7x7x7 or (1)/(7x7x7x7x7) which yields 0.000059499 The exponent can be a fraction. So 7 with a 1/2 in the upper right of 7 is asking the question "what number multiplied by itself yields 7" or what is the square root of 7. So in this case the value would be 2.64575 roughly. The exponent can be a negative fraction. So 7 with a -1/2 in the upper right of 7 is asking the question "what is the reciprocal of the square root of 7". The value would be 0.37796 roughly Hence the small number written in the upper right of a number is a short form widely used in science and mathematics to convey many precise meanings