Question

what is exponential form of (5²×5⁵)÷5¹⁰ .answer with explanation.please​

Answer 1

Answer:

5 square raise to 3 upon 5 raise to 7=

5 raise to 6+4 Upon 5 raise to 7 =

5 Raise to 3 (answer)

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Answer 2

ANSWER

For this question u have to first understand what are the rules for writing in exponential form.

★LET US UNDERSTAND STEP BY STEP ★

Rule 1 :-

Product of powers rule

When multiplying two bases of the same value, keep the bases the same and then add the exponents together to get the solution.

$4^{2} \times 4^{5}$

Since the base values are both four, keep them the same and then add the exponents (2 + 5) together.

${4}^{2} \times {4}^{5} = {4}^{7}$

RULE-2 :-

Quotient of powers rule

Multiplication and division are opposites of each other -- much the same, the quotient rule acts as the opposite of the product rule.

When dividing two bases of the same value, keep the base the same, and then subtract the exponent values.

${5}^{5} \div {5}^{3} =$

Both bases in this equation are five, which means they stay the same. Then, take the exponents and subtract the divisor from the dividend.

${5}^{5} \div {5}^{3} = {5}^{2}$

THERE ARE MORE RULES ALSO BUT I HAVE GIVEN ONLY THE REQUIRED ONE ★

YOUR QUESTION

$( {5}^{2} \times {5}^{5} ) \div {5}^{10}$

FIRST WE WILL APPLY RULE 1 :-

${5}^{2} \times {5}^{5} = {5}^{7}$

then it becomes :-

$\frac{5^{7} }{ {5}^{10} }$

SECOND WE WILL APPLY RULE 2 :-

${5}^{7} \div {5}^{10} = {5}^{3}$

ANSWER

${5}^{3}$