Fill in the blanks -37-34-33 -

By the properties of exponent, we know that a^x/a^y = a^x y0ex0exa^x×a^y = a^x+y0ex0exa^0 = 1By using the above properties 3^7/3^4×3^3 = 3^7/3^4+30ex0ex ...

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Standard VIII

Mathematics

Operations on Exponents in Algebraic Expansions

Fill in the b...

Question

Fill in the blanks :
$\frac{3^{7}}{3^{4} \times 3^{3}} =________$

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Solution

By the properties of exponent, we know that -
$\frac{a^{x}}{a^{y}} = a^{x - y} a^{x} \times a^{y} = a^{x + y} a^{0} = 1$
By using the above properties -
$\frac{3^{7}}{3^{4} \times 3^{3}} = \frac{3^{7}}{3^{4 + 3}} = \frac{3^{7}}{3^{7}} = 3^{7 - 7} = 3^{0} = 1$
Hence, the correct answer is $1$ .

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Fill in the blanks :3734×33=________

By the properties of exponent, we know that -axay=ax-yax×ay=ax+ya0=1By using the above properties -3734×33=3734+3=3737=37-7=30=1Hence, the correct answer is 1.

Fill in the blanks :
$\frac{3^{7}}{3^{4} \times 3^{3}} =________$

By the properties of exponent, we know that -
$\frac{a^{x}}{a^{y}} = a^{x - y} a^{x} \times a^{y} = a^{x + y} a^{0} = 1$
By using the above properties -
$\frac{3^{7}}{3^{4} \times 3^{3}} = \frac{3^{7}}{3^{4 + 3}} = \frac{3^{7}}{3^{7}} = 3^{7 - 7} = 3^{0} = 1$
Hence, the correct answer is $1$ .