negative and zero exponent need a complete explanation >.< please ..
1) (2a^-4n)^-2 (4b^-3)^-1
2) 7^6 x^9 y^7 z^-4/ 7^8 x^5 y^10 z
3) 14n^0 m^-7/ 16^n-4 m^2
4) (5^-1 x^-3 y^4)^-2 (x^5 y^-3)^-1
need a complete explanation
please need it now !
1) (2a^-4n)^-2 (4b^-3)^-1
2) 7^6 x^9 y^7 z^-4/ 7^8 x^5 y^10 z
3) 14n^0 m^-7/ 16^n-4 m^2
4) (5^-1 x^-3 y^4)^-2 (x^5 y^-3)^-1
need a complete explanation
please need it now !
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Remember x^0=1 is always 1, is like 2/2=1 or 8/8=1 or x^m-m=x^0=1
(2a^(-4)n)^(-2)(4b^(-3))^(-1)
Remove the negative exponent in the numerator by rewriting 2a^(-4)n as (2n)/(a^(4)). A negative exponent follows the rule: a^(-n)=(1)/(a^(n)).
((2n)/(a^(4)))^(-2)(4b^(-3))^(-1)
Remove the negative exponent in the numerator by rewriting 4b^(-3) as (4)/(b^(3)). A negative exponent follows the rule: a^(-n)=(1)/(a^(n)).
((2n)/(a^(4)))^(-2)((4)/(b^(3)))^(-1)
Expand the exponent (2) to the expression.
(1)/((2^(2)n^(2))/((a^(4))^(2)))*((4)/(…
Expand the exponent (2) to the expression.
(1)/((2^(2)n^(2))/(a^(4*2)))*((4)/(b^(3…
Multiply 4 by 2 to get 8.
(1)/((2^(2)n^(2))/(a^(8)))*((4)/(b^(3))…
Squaring a number is the same as multiplying the number by itself (2*2). In this case, 2 squared is 4.
(1)/((4n^(2))/(a^(8)))*((4)/(b^(3)))^(-…
To divide by (4n^(2))/(a^(8)), multiply by the reciprocal of the fraction.
(a^(8))/(4n^(2))*((4)/(b^(3)))^(-1)
To divide by (4)/(b^(3)), multiply by the reciprocal of the fraction.
(a^(8))/(4n^(2))*(b^(3))/(4)
Multiply (a^(8))/(4n^(2)) by (b^(3))/(4) to get (a^(8)b^(3))/(16n^(2)).
(a^(8)b^(3))/(16n^(2))
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(7^(6)x^(9)y^(7)z^(-4))/(7^(8)x^(5)y^(1…
To divide 7^(6) by 7^(8), subtract the denominator exponent from the numerator exponent.
(7^(6-8)x^(9)y^(7)z^(-4))/(x^(5)y^(10)z…
Subtract 8 from 6 to get -2.
(7^(-2)x^(9)y^(7)z^(-4))/(x^(5)y^(10)z)
Remove the negative exponent by rewriting 7^(-2)x^(9)y^(7)z^(-4) as (x^(9)y^(7)z^(-4))/(7^(2)). A negative exponent follows the rule a^(-n)=(1)/(a^(n)).
(2a^(-4)n)^(-2)(4b^(-3))^(-1)
Remove the negative exponent in the numerator by rewriting 2a^(-4)n as (2n)/(a^(4)). A negative exponent follows the rule: a^(-n)=(1)/(a^(n)).
((2n)/(a^(4)))^(-2)(4b^(-3))^(-1)
Remove the negative exponent in the numerator by rewriting 4b^(-3) as (4)/(b^(3)). A negative exponent follows the rule: a^(-n)=(1)/(a^(n)).
((2n)/(a^(4)))^(-2)((4)/(b^(3)))^(-1)
Expand the exponent (2) to the expression.
(1)/((2^(2)n^(2))/((a^(4))^(2)))*((4)/(…
Expand the exponent (2) to the expression.
(1)/((2^(2)n^(2))/(a^(4*2)))*((4)/(b^(3…
Multiply 4 by 2 to get 8.
(1)/((2^(2)n^(2))/(a^(8)))*((4)/(b^(3))…
Squaring a number is the same as multiplying the number by itself (2*2). In this case, 2 squared is 4.
(1)/((4n^(2))/(a^(8)))*((4)/(b^(3)))^(-…
To divide by (4n^(2))/(a^(8)), multiply by the reciprocal of the fraction.
(a^(8))/(4n^(2))*((4)/(b^(3)))^(-1)
To divide by (4)/(b^(3)), multiply by the reciprocal of the fraction.
(a^(8))/(4n^(2))*(b^(3))/(4)
Multiply (a^(8))/(4n^(2)) by (b^(3))/(4) to get (a^(8)b^(3))/(16n^(2)).
(a^(8)b^(3))/(16n^(2))
--------------------------------------
(7^(6)x^(9)y^(7)z^(-4))/(7^(8)x^(5)y^(1…
To divide 7^(6) by 7^(8), subtract the denominator exponent from the numerator exponent.
(7^(6-8)x^(9)y^(7)z^(-4))/(x^(5)y^(10)z…
Subtract 8 from 6 to get -2.
(7^(-2)x^(9)y^(7)z^(-4))/(x^(5)y^(10)z)
Remove the negative exponent by rewriting 7^(-2)x^(9)y^(7)z^(-4) as (x^(9)y^(7)z^(-4))/(7^(2)). A negative exponent follows the rule a^(-n)=(1)/(a^(n)).
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