Question

SImplify: $(256{)}^{0.16}\times (256{)}^{0.09}$

• A. $4$
• B. $16$
• C. $64$
• D. $256.25$

Answer 1

The correct option is A $4$

$(256{)}^{0.16}\times (256{)}^{0.09}$

$=(256{)}^{(0.16+0.09)}$

$=(256{)}^{0.25}=(256{)}^{\frac{25}{100}}=(256{)}^{\frac{1}{4}}$

$=(4^4{)}^{\frac{1}{4}}=4^1=4$