a. 2⁴= 2×2= 16.
b. (-4)²=
since the power of two is even, the result will be positive.
4²= 2×2×2×2=16.
c. 5³*4=
d. 0.7²=0.49.
e. 5(4²+9²-121°)
5×(16×81-121°)
x°=1
121°= 1.
5×(16+81-11).
16+81-1= 96
5 ×96= 480
ANS= 480.
F. 5 5÷ 5³
5 5= 5×5×5×5×5 = 3125
5³= 5×5×5=125
3125÷125= 25.
G. 11¹0÷11–⁴ =
11¹0= 25937424601.
use negative power rule.
25937424601÷¹/11⁴
11⁴= 14641
25937424601÷ ¹/14641
use this rule a÷ b/c= a×c/b.
25937424601 ×14641/1 = 379749833583241.
H. √5²+12² - 4
√25+ 144 -4
√169-4
square root of 169=13
13-4= 9.
I. ³√-4×16
-4×16= -64.
³√64= -4
J. ⁴√50625
Rewrite 50625 as it's prime factor.
⁴√3×3×3×3×5×5×5×5.
Group the same prime factors into groups of four.
⁴√(3×3×3×3)×(5×5×5×5).
Rewrite each group if four in four exponent form.
⁴√3⁴×5⁴
Use the rule ⁴√x⁴=x.
3×5=15.