Question

Use the multiplication property of exponents to determine if each statement is true or false.

a^4 × a^3 × a = a^7

5^2 × 3^4 = 15^6

x^6 × x^0 × x^2 × x^3 = x^11

7m^2 × 2m × 4m^5 = 56m^8

Answer 1

1st one is wrong answer is a^8
2nd also wrong answer is 2025
3rd one is absolutely correct
4th one is correct

Answer 2

Heya !!!










(A) A⁴ × A³ × A = A^7



=> A × A × A × A × A × A × A × A = A^7



Hence,


A⁴ × A³ × A = A^7




(B) = 5² × 3⁴ = 15^6




=> 5 × 5 × 3 × 3 × 3 × 3



=> 2025



And,



( 15^6 ) = 15 × 15 × 15 × 15 × 15 × 15 = 11390625

Hence,



(5² × 3⁴ ) not equal to (15^16 ) [ False ]




(C ) X^6 × X^0 × X² × X³ = X^11




=> ( X × X × X × X × X × X × X × X × X × X × X ) = X^11




Hence,




( X^6 × X^0 × X^2 × X^3 ) = X^11 [ True ]




( D ) (7 M² × 2M × 4M^5 ) = 56 M^8




=> ( 7 × 2 × 5 ) × ( M² × M × M^5 )




=> (56 × M^8)




=> 56M^8



Hence,




( 7M² × 2M × 4M^5 ) = ( 56M^8 } [ True ]





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