Test: Exponents - 1

The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.

7^-2 = 1/7²

Hence, 7² x 1/7² = 1

3^-2 x 3^-5 = (1/3²) x (1/3⁵)

= (1/3²⁺⁵)

= (1/3⁷)

= 3^-7

By law of exponent:

(a^m)ⁿ = a^mn

(3⁴)³ = 3^4×3 = 3¹²

By exponent law:

a^m/b^m = (a/b)^m

5⁷/6⁷ = (⅚)⁷

(–3)^m+1 × (–3)⁵ = (–3)⁷

(-3)^m+1+5 = (-3)⁷

(-3)^m+6 = (-3)⁷

The multiplicative inverse of 1/3² is 3².

1/3² x 3² = 1

(⅓)² = (⅓ x ⅓) = 1/9

(-1)²⁰ is equal to 1 because if a negative number is raised to the power of an even number, then the resulting value will be positive.

865000 is equal to 8.65 × 10⁵

0.09 × 10¹⁰ is equal to 900000000.