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If (915 + 915 + 915 + 915 + 915 + 915 + 915 + 915 + 915) (515 + 515 + 515 + 515 + 515) = 45a, then what is the value of ‘a’?

If (915 + 915 + 915 + 915 + 915 + 915 + 915 + 915 + 915) (515 + 515 + 515 + 515 + 515) = 45a, then what is the value of ‘a’? Correct Answer 16

GIVEN:

(915 + 915 + 915 + 915 + 915 + 915 + 915 + 915 + 915) (515 + 515 + 515 + 515 + 515) = 45a

CONCEPT:

Compare the power.

CALCULATION:

(915 + 915 + 915 + 915 + 915 + 915 + 915 + 915 + 915) (515 + 515 + 515 + 515 + 515)

⇒ (9 × 915) (5 × 515)

⇒ (916) (516)

⇒ (9 × 5)16

⇒ 4516

Hence, a = 16

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