52-53-54- 52- 3- 4-52-3-4

By the properties of exponent, we know that a^x×a^y×a^z = a^x+y+zBy using above property 5^2×5^3×5^4 = 5^2+3+4Hence, the correct option is (5)^2+3+4. ...

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Byju's Answer

Standard VI

Mathematics

Exponent

52×53×54= ...

Question

${(5)}^{2} \times {(5)}^{3} \times {(5)}^{4} =_______({(5)}^{2 \times 3 \times 4} / {(5)}^{2 + 3 + 4})$

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Solution

By the properties of exponent, we know that -
$a^{x} \times a^{y} \times a^{z} = a^{x + y + z}$
By using above property -
$5^{2} \times 5^{3} \times 5^{4} = 5^{2 + 3 + 4}$
Hence, the correct option is ${(5)}^{2 + 3 + 4}$ .

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52×53×54=_______(52×3×4/52+3+4)

By the properties of exponent, we know that -ax×ay×az=ax+y+zBy using above property -52×53×54=52+3+4Hence, the correct option is 52+3+4.

${(5)}^{2} \times {(5)}^{3} \times {(5)}^{4} =_______({(5)}^{2 \times 3 \times 4} / {(5)}^{2 + 3 + 4})$

By the properties of exponent, we know that -
$a^{x} \times a^{y} \times a^{z} = a^{x + y + z}$
By using above property -
$5^{2} \times 5^{3} \times 5^{4} = 5^{2 + 3 + 4}$
Hence, the correct option is ${(5)}^{2 + 3 + 4}$ .