Q. 3 B5.0( 1 Vote )

# Represent the following numbers in scientific notation.

(1500)^{3}(0.0001)^{2}

Answer :

In scientific notation,

1500 = (1.5×10^{3}) and 0.0001 = (1.0×10 ^{- 4})

∴(1500)^{3}×(0.0001)^{2} = (1.5×10^{3})^{3}×(1.0×10 ^{- 4})^{2}

= (1.5)^{3}×(10^{3})^{3}×(1.0)^{2}×(10 ^{- 4})^{2}

= 3.375 ×(10)^{9}×1×(10) ^{- 8}

= 3.375×(10)^{1}

∴ (1500)^{3}×(0.0001)^{2} in scientific notation is 3.375×10^{1}

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