A negative exponent is simply the reciprocal of the positive exponent. So simply remove the negative sign and find the reciprocal.
Thus, for example, 5-3 = 1/53 = 1/125
Positive exponents: an = a*a*a*...*a where there are n (>0) lots of a. Negative exponents: a-n = 1/(a*a*a*...*a) where there are n (>0) lots of a.
To solve equations with negative exponents and different bases, first rewrite each term with a positive exponent by applying the rule (a^{-n} = \frac{1}{a^n}). This may involve moving terms across the equation. Once all terms have positive exponents, you can simplify or solve the equation by isolating the variable or using logarithms, if necessary. Finally, check for extraneous solutions, especially if you manipulated the equation significantly.
why the exponents can not be negative
When multiplying numbers with exponents, you add the exponents.
Bedmassb= braquets (solve the braquets)e= exponents (solve the exponents)d-m= division and multiplicationa-s= add or substractare the steps to solve an operation!I wish that that it help to you! :)
Positive exponents: an = a*a*a*...*a where there are n (>0) lots of a. Negative exponents: a-n = 1/(a*a*a*...*a) where there are n (>0) lots of a.
nth root (a) = a^(1/n) mth root a^(1/m) a^(1/n) + a^(1/m) = a^(1/n) + a^(1/m) However. when multiplying a^(1/n) X a^(1/m) = a^([m + n]/[mn]) Think of addition of fractions , where the exponents are concerned. NB This can only be done when the coefficient 'a' is the same for both numbers. NNB a^(1/n) means the 'n th root' of 'a'.
You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
To solve equations with negative exponents and different bases, first rewrite each term with a positive exponent by applying the rule (a^{-n} = \frac{1}{a^n}). This may involve moving terms across the equation. Once all terms have positive exponents, you can simplify or solve the equation by isolating the variable or using logarithms, if necessary. Finally, check for extraneous solutions, especially if you manipulated the equation significantly.
You sole exponents by multiplying the hole number by the exponent.
Negative exponents are used to represent 1 divided by an a base to a specific exponent.
why the exponents can not be negative
Rules for exponents. a^(n) X a^(m) = a^(n+m) a^(n) / a^(m) = a^(n-m) (a^(n))^(m) = a^(nm) In all cases the coefficient 'a' MUST be the same value in all cases. Also square root(a) = a^(1/2) cube root (a) = a^(1/3) nth root (a) = a^(1/n) Finally a^(-1/n) = 1/a(n)
When multiplying numbers with exponents, you add the exponents.
by doing reciprocal
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Anything with a zero exponent is 1. Positive exponents tell how many times to multiply a base number. Negative exponents tell how many times to divide a base number. Negative exponents are the reciprocals of positive ones. 10^2 = 100 10^1 = 10 10^0 = 1 10^-1 = 1/10 10^-2 = 1/100 3^2 = 9 3^1 = 3 3^0 = 1 3^-1 = 1/3 3^-2 = 1/9