Question

a)      5¹³ : 5¹⁰ – 25.2²

b)     20 : 2² + 5⁹ : 5⁸

c)      100 : 5² + 7.3²

d)     84 : 4 + 3⁹ : 3⁷ + 5⁰

e)      29 – [16 + 3.(51 – 49)]

f)      5.2² + 98:7²

g)     3¹¹ : 3⁹ – 147 : 7²

h)     295 – (31 – 2².5)²

7¹⁸ : 7¹⁶ +2².3³

 

Answer 1

\(a)\) \(5^{13}:5^{10}-25.2^2=5^3-25.4=125-100=25\)

\(b)\) \(20:2^2+5^9:5^8=20:4+5^1=5+5=10\)

\(c)\) \(100:5^2+7.3^2=100:25+7.9=4+36=40\)

\(d)\) \(84:4+3^9:3^7+5^0=84:4+3^2+1=21+9+1=31\)

\(e)\)

\(29-\left[16+3.\left(51-49\right)\right]=29-\left[16+3.2\right]=29-\left[16+6\right]=29-22=7\)

\(f)\) \(5.2^2+98:7^2=5.4+98:49=20+2=22\)

\(g)\) \(3^{11}:3^9-147:7^2=3^2-147:49=9-3=6\)

\(295-\left(31-2^2.5\right)^2=295-\left(31-4.5\right)^2=295-\left(31-20\right)^2=295-11^2=295-121=174\)

\(7^{18}:7^{16}+2^2.3^2=7^2+4.9=49+36=85\)

 

Answer 2

a: \(5^{13}:5^{10}-25\cdot2^2\)

\(=5^3-25\cdot4\)

=125-100

=25

b: \(20:2^2+5^9:5^8\)

\(=20:4+5\)

=5+5

=10