Simplify: (7^5)(4^5). Write your answer using an exponent. Explain in words how to simplify: (153^2)^7. Is the statement (10^5)(4^5)=14^5 true?

babeeb0oL

babeeb0oL

Answered question

2021-03-09

Simplify: (75)(45). Write your answer using an exponent.
Explain in words how to simplify: (1532)7.
Is the statement (105)(45)=145 true?

Answer & Explanation

Brittany Patton

Brittany Patton

Skilled2021-03-10Added 100 answers

Since the bases are different but the exponents are the same, we can use the rule: (ab)n=anbn
(75)(45)=(74)5=285
To simplfy (1532)7, we multiply the exponents so that it is equal to 1532(7)=15314. This is the application of the power of a power property of exponents:
No. Using the rule (ab)n=anbn, the correct statement should be:
(105)(45)=(104)5=405

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