Negative Exponents

Transcript

Negative Exponents Here, Exponent(Power) is negative It means 10−2 = 1/10^2 = 1/100 = 001/100 = 0.01 ∴ 10−2 = 0.01 10−4 = 1/10^4 = 1/10000 = 00001/10000 = 0.0001 2−4 = 1/2^4 = 1/(2 × 2 × 2 × 2) = 1/(4 × 4) = 𝟏/𝟏𝟔 (𝟏/𝟑)^(−𝟐) = 〖1 〗^(−2)/3^( −2) = 1/3^(−2) = 32 = 9 (𝟏/𝟏𝟎)^(−𝟒) = 〖1 〗^(−4)/10^( −4) = 1/10^(−4) = 104 = 10000 (Any number to power of 1 is 1) 3−2 = 1/3^2 = 1/(3 × 3) = 𝟏/𝟗 6−3 = 1/6^3 = 1/(6 × 6 × 6) = 1/(36 × 6) = 𝟏/𝟐𝟏𝟔 (𝟐/𝟑)^(−𝟑) = 〖2 〗^(−3)/3^( −3) = ((1/2^3 ))/((1/3^3 ) ) = 1/2^3 ÷ 1/3^3 = 1/2^3 × 3^3/1 = 3^3/2^3 = (3 × 3 × 3)/(2 × 2 × 2) = (9 × 3)/(4 × 2) = 𝟐𝟕/𝟖