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The multiplicative inverse of any value is the one which when multiplied by the original value gives a value equal to 1.
7^{2} = 1/7^{2}
Hence, 7^{2} x 1/7^{2} = 1
3^{2} x 3^{5 }= (1/3^{2}) x (1/3^{5})
= (1/3^{2+5})
= (1/3^{7})
= 3^{7}
By law of exponent:
(a^{m})^{n} = a^{mn}
(3^{4})^{3} = 3^{4×3} = 3^{12}
By exponent law:
a^{m}/b^{m} = (a/b)^{m}
5^{7}/6^{7} = (⅚)^{7}
(–3)^{m+1} × (–3)^{5} = (–3)^{7}
(3)^{m+1+5} = (3)^{7}
(3)^{m+6} = (3)^{7}
The multiplicative inverse of 1/3^{2} is 3^{2}.
1/3^{2} x 3^{2} = 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 × 10^{5}
0.09 × 10^{10} is equal to 900000000.
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184 videos111 docs67 tests
