Laws of exponents:
(a^x)^y=a^(xy)
a^0=1 (a≠0)
Therefore
(7^13)^3.7^0
=(7^(13*3)). 1
=7^39
PEMDAS parentheses exponents multiply divide add subtract
Answer:
let the third side be x
Using pythagoras theorem we get,
(58)^2 = (42)^2 + (x)^2
3364=1764+x^2
x^2=3364-1764
x^2= 1600
x=√(1,600)
x=40
X=-2 and y=3.
The first step we take is to substitute the value for y from the second equation into the first equation:
4x+5(3x+9)=7
This is justified by substitution. The next step is:
4x+5*3x+5*9=7
4x+15x+45=7
This is justified by the distributive property. The next step is:
19x+45=7
This is justified by addition of like terms. The next step is:
19x+45-45=7-45
19x=-38
This is justified by the subtraction property of equality. The next step is:
19x/19 = -38/19
x=-2
This is justified by the division property of equality. The next step is:
y=3(-2)+9
y=-6+9
y=3
This is justified by substitution, multiplication and addition, in that order.
