Solve this: 19 Simplify and write in exponential form: (a) (35÷39) × 3-6(b) (-5)-3 × (-5)-3 × - Maths - Exponents and Powers

Question

Solve this:

19 Simplify and write in exponential form:

( a )   ( 3 5 ÷ 3 9 )   ×   3 - 6 ( b )
  ( - 5 ) - 3   ×   ( - 5 ) - 3   ×
  4 - 3 ( c )   25   ×   3 - 2 5 4  
  ×   3 4   ×   3 3

Neha Sethi · Accepted Answer

Dear student
(a) 35÷39×3-6= 35÷39×136=35×139×136=35×1315=1310=3-10(b) -5-3×-5-3×4-3=-5-3+-3×4-3=-5-3-3×4-3=-5-6×4-3 (c) 25×3-254×34×33=52×5-4×3-2×33×3-4=52+-4×3-2+3+-4=5-2×3-2+3-4=5-2×3-3Identity used:1) a-n=1an2) an×am=am+n3) anam=an-m
Regards

Solve this: 19. Simplify and write in exponential form: ( a ) ( 3 5 ÷ 3 9 ) × 3 - 6 ( b ) ( - 5 ) - 3 × ( - 5 ) - 3 × 4 - 3 ( c ) 25 × 3 - 2 5 4 × 3 4 × 3 3

Solve this:

19. Simplify and write in exponential form:

$(a) (3^{5} \div 3^{9}) \times 3^{- 6} (b) (- 5)^{- 3} \times (- 5)^{- 3} \times 4^{- 3} (c) \frac{25 \times 3^{- 2}}{5^{4} \times 3^{4}} \times 3^{3}$