Question

А) 4⁸ • 4-⁵ б)а¹²:а⁹ в)(у³)⁶ г)(cd)⁵ д)(b/5)³

Answer 1

Объяснение:

а) 4⁸×4`⁵=4³=64

б) а¹²÷а⁹=а³

в) (у³)⁶=у¹⁸

г) (cd)⁵=c⁵×d⁵

д) (b/5)³=b³/5³=b³/125

Answer 2

Let's simplify each of the expressions:

a) 4⁸ • 4^(-5) To multiply powers with the same base, you add their exponents: 4⁸ • 4^(-5) = 4^(8 + (-5)) = 4³ = 64

b) a¹² : a⁹ To divide powers with the same base, you subtract their exponents: a¹² : a⁹ = a^(12 - 9) = a³

c) (u³)⁶ To raise a power to another power, you multiply the exponents: (u³)⁶ = u^(3 * 6) = u^18

d) (b/5)³ To raise a fraction to a power, you raise both the numerator and denominator to that power: (b/5)³ = (b³)/(5³) = b³/125

So, the simplified forms of the expressions are: a) 64 b) a³ c) u^18 d) b³/125