a) \(7^5:343\)

\(=7^5:7^3\)

\(=7^{5-3}\)

\(=7^2\)

b) \(a^{12}:a^{18}\)

\(=\dfrac{a^{12}}{a^{18}}\)

\(=\dfrac{a^0}{a^6}\)

\(=\dfrac{1}{a^6}\)

c) \(x^7\cdot x^4\cdot x\)

\(=x^{7+4+1}\)

\(=x^{12}\)

85.23 = 85.8 = 85+1 = 86

35.45 = 3.3.3.3.3.4.4.4.4.4

= (3.4).(3.4).(3.4).(3.4).(3.4)

= 12.12.12.12.12 = 125

53.56 = 53 + 6= 59

a3.a5= a3+5 = a8

34.3 = 34 + 1 = 35

5\(^6\)

5^6=15625

???

\(\left(x^5\right)^2=x^{5\cdot2}=x^{10}\)

kkk

\(\left(x^5\right)^2=x^{10}\)

\(3^2\cdot4^3-3^2+333\)

\(=3^2\left(4^3-1\right)+333\)

\(=3^2\cdot63+333\)

\(=3^4\cdot7+3^2\cdot37\)

\(=3^2\left(63+37\right)\)

\(=30^2\)