Let
\(b_{k}(n)\) denote the number of
k-regular partitions of
n. In this paper, we prove Ramanujan-type congruences modulo powers of 7 for
\(b_{7}(n)\) and
\(b_{49}(n)\). For example, for all
\(j\ge 1\) and
\(n\ge 0\), we prove that
$$\begin{aligned} b_{7}\Bigg (7^{2j-1}n+\frac{3\cdot 7^{2j-1}-1}{4}\Bigg )\equiv 0\pmod {7^{j}} \end{aligned}$$
and
$$\begin{aligned} b_{49}\Big (7^{j}n+7^{j}-2\Big )\equiv 0\pmod {7^{j}}. \end{aligned}$$